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The HCF of 104 and X is 52. The HCF of X and 234 is 78. Given that X is a
number between 104 and 234, find X.​

Sagot :

Answer:

X = 156

Step-by-step explanation:

52 is a factor of 52, 104, 156, and 208

78 is a factor of 78, 156, and 234.

The commonality here is 156.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

When finding the factors of two number, some number among these factors are common. The value of the number [tex]x[/tex] is 156.

What is the highest common factor (HCF)?

When finding the factors of two number, some number among these factors are common.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

Given information-

The HCF of 104 and [tex]x[/tex] is 52.

The HCF of [tex]x[/tex] and 234 is 78.

The number [tex]x[/tex] is between 104 and 234.

The factors of 52 (multiples of 52) less than or equal to the number 234 are,

[tex]52,104,156,208[/tex]

The factors of 78 (multiples of 78) less than or equal to the number 234 are,

[tex]78,156,234[/tex]

The common number from both sets is 156.

The number 156 is the value of [tex]x[/tex] which is between the number 104 and 234.

Hence the value of the number [tex]x[/tex] is 156.

Learn more about the highest common factor here;

https://brainly.com/question/219464

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