Greatest Common Factor of 195/696, 3952/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/696, 3952/340

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 195/696,3952/340

Given fractions are 195/696,3952/340

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 195,3952

Greatest Common Factor of Numerators i.e. GCF of 195,3952 is 13 .

LCM of Denominators means LCM of 696,340 as per the given fractions.

LCM of 696,340 is 59160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,3952

GCF of Fractions 195/696,3952/340 is 13/59160

13 195, 3952
15, 304

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 195,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,3952 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 195,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 195,3952 is 13.

Lets's calculate LCM of 696,340

2 696, 340
2 348, 170
174, 85

∴ So the LCM of the given numbers is 2 x 2 x 174 x 85 = 59160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/59160

Therefore, the GCF of Fractions 195/696,3952/340 is 13/59160

Least Common Multiple of 696,340 with GCF Formula

Least Common Multiple of 696,340 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 696,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,340) = 4

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

GCF(696,340) x common factors =4 x 1 = 4

LCM(696,340) = ( 696 × 340 ) / 4

LCM(696,340) = 236640 / 4

LCM(696,340) = 59160


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 195/696, 3952/340

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 195/696, 3952/340?

Answer: GCF of Numerators as per given numbers 195/696, 3952/340 is

GCF of Numerators i.e. for 195,3952 is 13

LCM of denominators i.e. for 696,340 is 59160.

Thus, GCF of Fractions is 13/59160.Finally, GCF of Fractions for 195/696, 3952/340 is 13/59160.