Greatest Common Factor of 719/52, 792/7464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 719/52, 792/7464

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 719/52,792/7464

Given fractions are 719/52,792/7464

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 719,792

Greatest Common Factor of Numerators i.e. GCF of 719,792 is 1 .

LCM of Denominators means LCM of 52,7464 as per the given fractions.

LCM of 52,7464 is 97032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,792

GCF of Fractions 719/52,792/7464 is 1/97032

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

Greatest Common Factor of 719,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,792 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 719,792 . The biggest common factor number is the GCF number.
So the greatest common factor 719,792 is 1.


Lets's calculate LCM of 52,7464

2 52, 7464
2 26, 3732
13, 1866

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1866 = 97032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97032

Therefore, the GCF of Fractions 719/52,792/7464 is 1/97032

Least Common Multiple of 52,7464 with GCF Formula

Least Common Multiple of 52,7464 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 52,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,7464) = 4

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

GCF(52,7464) x common factors =4 x 1 = 4

LCM(52,7464) = ( 52 × 7464 ) / 4

LCM(52,7464) = 388128 / 4

LCM(52,7464) = 97032


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 719/52, 792/7464

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 719/52, 792/7464?

Answer: GCF of Numerators as per given numbers 719/52, 792/7464 is

GCF of Numerators i.e. for 719,792 is 1

LCM of denominators i.e. for 52,7464 is 97032.

Thus, GCF of Fractions is 1/97032.Finally, GCF of Fractions for 719/52, 792/7464 is 1/97032.