Greatest Common Factor of 9768/95, 3502/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9768/95, 3502/114

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 9768/95,3502/114

Given fractions are 9768/95,3502/114

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 9768,3502

Greatest Common Factor of Numerators i.e. GCF of 9768,3502 is 2 .

LCM of Denominators means LCM of 95,114 as per the given fractions.

LCM of 95,114 is 570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9768,3502

GCF of Fractions 9768/95,3502/114 is 2/570

2 9768, 3502
4884, 1751

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

Greatest Common Factor of 9768,3502 By Matching Biggest Common Factor Method

Greatest Common Factor of 9768,3502 By Matching Biggest Common Factor Method

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Factors of 3502

List of positive integer factors of 3502 that divides 3502 without a remainder.

1,2,17,34,103,206,1751,3502

Greatest Common Factor

We found the factors 9768,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 9768,3502 is 2.

Lets's calculate LCM of 95,114

19 95, 114
5, 6

∴ So the LCM of the given numbers is 19 x 5 x 6 = 570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/570

Therefore, the GCF of Fractions 9768/95,3502/114 is 2/570

Least Common Multiple of 95,114 with GCF Formula

Least Common Multiple of 95,114 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 95,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,114) = 19

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

GCF(95,114) x common factors =19 x 1 = 19

LCM(95,114) = ( 95 × 114 ) / 19

LCM(95,114) = 10830 / 19

LCM(95,114) = 570


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9768/95, 3502/114

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 9768/95, 3502/114?

Answer: GCF of Numerators as per given numbers 9768/95, 3502/114 is

GCF of Numerators i.e. for 9768,3502 is 2

LCM of denominators i.e. for 95,114 is 570.

Thus, GCF of Fractions is 2/570.Finally, GCF of Fractions for 9768/95, 3502/114 is 2/570.