Greatest Common Factor of 9704/86, 1174/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9704/86, 1174/122

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 9704/86,1174/122

Given fractions are 9704/86,1174/122

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 9704,1174

Greatest Common Factor of Numerators i.e. GCF of 9704,1174 is 2 .

LCM of Denominators means LCM of 86,122 as per the given fractions.

LCM of 86,122 is 5246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9704,1174

GCF of Fractions 9704/86,1174/122 is 2/5246

2 9704, 1174
4852, 587

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

Greatest Common Factor of 9704,1174 By Matching Biggest Common Factor Method

Greatest Common Factor of 9704,1174 By Matching Biggest Common Factor Method

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1,2,4,8,1213,2426,4852,9704

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1,2,587,1174

Greatest Common Factor

We found the factors 9704,1174 . The biggest common factor number is the GCF number.
So the greatest common factor 9704,1174 is 2.

Lets's calculate LCM of 86,122

2 86, 122
43, 61

∴ So the LCM of the given numbers is 2 x 43 x 61 = 5246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5246

Therefore, the GCF of Fractions 9704/86,1174/122 is 2/5246

Least Common Multiple of 86,122 with GCF Formula

Least Common Multiple of 86,122 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 86,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,122) = 2

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

GCF(86,122) x common factors =2 x 1 = 2

LCM(86,122) = ( 86 × 122 ) / 2

LCM(86,122) = 10492 / 2

LCM(86,122) = 5246


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 9704/86, 1174/122

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 9704/86, 1174/122?

Answer: GCF of Numerators as per given numbers 9704/86, 1174/122 is

GCF of Numerators i.e. for 9704,1174 is 2

LCM of denominators i.e. for 86,122 is 5246.

Thus, GCF of Fractions is 2/5246.Finally, GCF of Fractions for 9704/86, 1174/122 is 2/5246.