Greatest Common Factor of 762/34, 564/48, 207/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 762/34, 564/48, 207/940

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 762/34,564/48,207/940

Given fractions are 762/34,564/48,207/940

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 762,564,207

Greatest Common Factor of Numerators i.e. GCF of 762,564,207 is 3 .

LCM of Denominators means LCM of 34,48,940 as per the given fractions.

LCM of 34,48,940 is 191760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 762,564,207

GCF of Fractions 762/34,564/48,207/940 is 3/191760

3 762, 564, 207
254, 188, 69

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 762,564,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,564,207 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 762,564,207 . The biggest common factor number is the GCF number.
So the greatest common factor 762,564,207 is 3.

Lets's calculate LCM of 34,48,940

2 34, 48, 940
2 17, 24, 470
17, 12, 235

∴ So the LCM of the given numbers is 2 x 2 x 17 x 12 x 235 = 191760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/191760

Therefore, the GCF of Fractions 762/34,564/48,207/940 is 3/191760

Least Common Multiple of 34,48,940 with GCF Formula

Least Common Multiple of 34,48,940 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 34,48,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,48,940) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(34,48,940) x common factors =2 x 4 = 8

LCM(34,48,940) = ( 34 × 48 × 940 ) / 8

LCM(34,48,940) = 1534080 / 8

LCM(34,48,940) = 191760


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 762/34, 564/48, 207/940

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 762/34, 564/48, 207/940?

Answer: GCF of Numerators as per given numbers 762/34, 564/48, 207/940 is

GCF of Numerators i.e. for 762,564,207 is 3

LCM of denominators i.e. for 34,48,940 is 191760.

Thus, GCF of Fractions is 3/191760.Finally, GCF of Fractions for 762/34, 564/48, 207/940 is 3/191760.