Greatest Common Factor of 52/185, 753/767, 334/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/185, 753/767, 334/506

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 52/185,753/767,334/506

Given fractions are 52/185,753/767,334/506

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 52,753,334

Greatest Common Factor of Numerators i.e. GCF of 52,753,334 is 1 .

LCM of Denominators means LCM of 185,767,506 as per the given fractions.

LCM of 185,767,506 is 71798870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,753,334

GCF of Fractions 52/185,753/767,334/506 is 1/71798870

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

Greatest Common Factor of 52,753,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,753,334 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 52,753,334 . The biggest common factor number is the GCF number.
So the greatest common factor 52,753,334 is 1.

Lets's calculate LCM of 185,767,506

Given numbers has no common factors except 1. So, there LCM is their product i.e 71798870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71798870

Therefore, the GCF of Fractions 52/185,753/767,334/506 is 1/71798870

Least Common Multiple of 185,767,506 with GCF Formula

Least Common Multiple of 185,767,506 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 185,767,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,767,506) = 1

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

GCF(185,767,506) x common factors =1 x 1 = 1

LCM(185,767,506) = ( 185 × 767 × 506 ) / 1

LCM(185,767,506) = 71798870 / 1

LCM(185,767,506) = 71798870


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 52/185, 753/767, 334/506

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 52/185, 753/767, 334/506?

Answer: GCF of Numerators as per given numbers 52/185, 753/767, 334/506 is

GCF of Numerators i.e. for 52,753,334 is 1

LCM of denominators i.e. for 185,767,506 is 71798870.

Thus, GCF of Fractions is 1/71798870.Finally, GCF of Fractions for 52/185, 753/767, 334/506 is 1/71798870.