Greatest Common Factor of 78/69, 643/90, 507/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/69, 643/90, 507/37

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 78/69,643/90,507/37

Given fractions are 78/69,643/90,507/37

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 78,643,507

Greatest Common Factor of Numerators i.e. GCF of 78,643,507 is 1 .

LCM of Denominators means LCM of 69,90,37 as per the given fractions.

LCM of 69,90,37 is 76590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,643,507

GCF of Fractions 78/69,643/90,507/37 is 1/76590

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 78,643,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,643,507 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 78,643,507 . The biggest common factor number is the GCF number.
So the greatest common factor 78,643,507 is 1.

Lets's calculate LCM of 69,90,37

3 69, 90, 37
23, 30, 37

∴ So the LCM of the given numbers is 3 x 23 x 30 x 37 = 76590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76590

Therefore, the GCF of Fractions 78/69,643/90,507/37 is 1/76590

Least Common Multiple of 69,90,37 with GCF Formula

Least Common Multiple of 69,90,37 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 69,90,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,90,37) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,90,37) x common factors =1 x 3 = 3

LCM(69,90,37) = ( 69 × 90 × 37 ) / 3

LCM(69,90,37) = 229770 / 3

LCM(69,90,37) = 76590


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 78/69, 643/90, 507/37

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 78/69, 643/90, 507/37?

Answer: GCF of Numerators as per given numbers 78/69, 643/90, 507/37 is

GCF of Numerators i.e. for 78,643,507 is 1

LCM of denominators i.e. for 69,90,37 is 76590.

Thus, GCF of Fractions is 1/76590.Finally, GCF of Fractions for 78/69, 643/90, 507/37 is 1/76590.