Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is the greatest common factor of 48, 112, and 80

Sagot :

sqdancefan

9514 1404 393

Answer:

  16

Step-by-step explanation:

48 = 16·3

112 = 16·7

80 = 16·5

3, 5, 7 have no common factors. The GCF of {48, 112, 80} is 16.

_____

It can be helpful to recognize 48 = 16·3 and 80 = 16·5. A simple check shows 112 = 16·7, so 16 is the GCF.

__

You can find GCF(48,112) using Euclid's algorithm:

  112 mod 48 = 16

  48 mod 16 = 0   ⇒   GCF(48, 112) = 16

and the GCF(16, 80) is ...

  80 mod 16 = 0   ⇒   GCF(16, 80) = 16

So, GCF(48, 80, 112) is 16.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.