Greatest Common Factor of 6955/66, 9635/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6955/66, 9635/914

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 6955/66,9635/914

Given fractions are 6955/66,9635/914

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 6955,9635

Greatest Common Factor of Numerators i.e. GCF of 6955,9635 is 5 .

LCM of Denominators means LCM of 66,914 as per the given fractions.

LCM of 66,914 is 30162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6955,9635

GCF of Fractions 6955/66,9635/914 is 5/30162

5 6955, 9635
1391, 1927

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6955,9635 By Matching Biggest Common Factor Method

Greatest Common Factor of 6955,9635 By Matching Biggest Common Factor Method

Factors of 6955

List of positive integer factors of 6955 that divides 6955 without a remainder.

1,5,13,65,107,535,1391,6955

Factors of 9635

List of positive integer factors of 9635 that divides 9635 without a remainder.

1,5,41,47,205,235,1927,9635

Greatest Common Factor

We found the factors 6955,9635 . The biggest common factor number is the GCF number.
So the greatest common factor 6955,9635 is 5.

Lets's calculate LCM of 66,914

2 66, 914
33, 457

∴ So the LCM of the given numbers is 2 x 33 x 457 = 30162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30162

Therefore, the GCF of Fractions 6955/66,9635/914 is 5/30162

Least Common Multiple of 66,914 with GCF Formula

Least Common Multiple of 66,914 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 66,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,914) = 2

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

GCF(66,914) x common factors =2 x 1 = 2

LCM(66,914) = ( 66 × 914 ) / 2

LCM(66,914) = 60324 / 2

LCM(66,914) = 30162


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 6955/66, 9635/914

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 6955/66, 9635/914?

Answer: GCF of Numerators as per given numbers 6955/66, 9635/914 is

GCF of Numerators i.e. for 6955,9635 is 5

LCM of denominators i.e. for 66,914 is 30162.

Thus, GCF of Fractions is 5/30162.Finally, GCF of Fractions for 6955/66, 9635/914 is 5/30162.