Greatest Common Factor of 9712/874, 7153/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9712/874, 7153/714

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 9712/874,7153/714

Given fractions are 9712/874,7153/714

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 9712,7153

Greatest Common Factor of Numerators i.e. GCF of 9712,7153 is 1 .

LCM of Denominators means LCM of 874,714 as per the given fractions.

LCM of 874,714 is 312018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9712,7153

GCF of Fractions 9712/874,7153/714 is 1/312018

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9712,7153 By Matching Biggest Common Factor Method

Greatest Common Factor of 9712,7153 By Matching Biggest Common Factor Method

Factors of 9712

List of positive integer factors of 9712 that divides 9712 without a remainder.

1,2,4,8,16,607,1214,2428,4856,9712

Factors of 7153

List of positive integer factors of 7153 that divides 7153 without a remainder.

1,23,311,7153

Greatest Common Factor

We found the factors 9712,7153 . The biggest common factor number is the GCF number.
So the greatest common factor 9712,7153 is 1.

Lets's calculate LCM of 874,714

2 874, 714
437, 357

∴ So the LCM of the given numbers is 2 x 437 x 357 = 312018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312018

Therefore, the GCF of Fractions 9712/874,7153/714 is 1/312018

Least Common Multiple of 874,714 with GCF Formula

Least Common Multiple of 874,714 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 874,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,714) = 2

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

GCF(874,714) x common factors =2 x 1 = 2

LCM(874,714) = ( 874 × 714 ) / 2

LCM(874,714) = 624036 / 2

LCM(874,714) = 312018


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 9712/874, 7153/714

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 9712/874, 7153/714?

Answer: GCF of Numerators as per given numbers 9712/874, 7153/714 is

GCF of Numerators i.e. for 9712,7153 is 1

LCM of denominators i.e. for 874,714 is 312018.

Thus, GCF of Fractions is 1/312018.Finally, GCF of Fractions for 9712/874, 7153/714 is 1/312018.