Greatest Common Factor of 51/52, 76/71, 737/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/52, 76/71, 737/705

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 51/52,76/71,737/705

Given fractions are 51/52,76/71,737/705

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 51,76,737

Greatest Common Factor of Numerators i.e. GCF of 51,76,737 is 1 .

LCM of Denominators means LCM of 52,71,705 as per the given fractions.

LCM of 52,71,705 is 2602860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,76,737

GCF of Fractions 51/52,76/71,737/705 is 1/2602860

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

Greatest Common Factor of 51,76,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,76,737 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 51,76,737 . The biggest common factor number is the GCF number.
So the greatest common factor 51,76,737 is 1.

Lets's calculate LCM of 52,71,705

Given numbers has no common factors except 1. So, there LCM is their product i.e 2602860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2602860

Therefore, the GCF of Fractions 51/52,76/71,737/705 is 1/2602860

Least Common Multiple of 52,71,705 with GCF Formula

Least Common Multiple of 52,71,705 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 52,71,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,71,705) = 1

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

GCF(52,71,705) x common factors =1 x 1 = 1

LCM(52,71,705) = ( 52 × 71 × 705 ) / 1

LCM(52,71,705) = 2602860 / 1

LCM(52,71,705) = 2602860


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 51/52, 76/71, 737/705

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 51/52, 76/71, 737/705?

Answer: GCF of Numerators as per given numbers 51/52, 76/71, 737/705 is

GCF of Numerators i.e. for 51,76,737 is 1

LCM of denominators i.e. for 52,71,705 is 2602860.

Thus, GCF of Fractions is 1/2602860.Finally, GCF of Fractions for 51/52, 76/71, 737/705 is 1/2602860.