Greatest Common Factor of 3136/163, 8448/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3136/163, 8448/872

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3136/163,8448/872

Given fractions are 3136/163,8448/872

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3136,8448

Greatest Common Factor of Numerators i.e. GCF of 3136,8448 is 64 .

LCM of Denominators means LCM of 163,872 as per the given fractions.

LCM of 163,872 is 142136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3136,8448

GCF of Fractions 3136/163,8448/872 is 64/142136

2 3136, 8448
2 1568, 4224
2 784, 2112
2 392, 1056
2 196, 528
2 98, 264
49, 132

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 3136,8448 By Matching Biggest Common Factor Method

Greatest Common Factor of 3136,8448 By Matching Biggest Common Factor Method

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Greatest Common Factor

We found the factors 3136,8448 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,8448 is 64.

Lets's calculate LCM of 163,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 142136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/142136

Therefore, the GCF of Fractions 3136/163,8448/872 is 64/142136

Least Common Multiple of 163,872 with GCF Formula

Least Common Multiple of 163,872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 163,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,872) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(163,872) x common factors =1 x 1 = 1

LCM(163,872) = ( 163 × 872 ) / 1

LCM(163,872) = 142136 / 1

LCM(163,872) = 142136


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3136/163, 8448/872

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3136/163, 8448/872?

Answer: GCF of Numerators as per given numbers 3136/163, 8448/872 is

GCF of Numerators i.e. for 3136,8448 is 64

LCM of denominators i.e. for 163,872 is 142136.

Thus, GCF of Fractions is 64/142136.Finally, GCF of Fractions for 3136/163, 8448/872 is 64/142136.