Greatest Common Factor of 2496/727, 7546/7564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2496/727, 7546/7564

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 2496/727,7546/7564

Given fractions are 2496/727,7546/7564

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 2496,7546

Greatest Common Factor of Numerators i.e. GCF of 2496,7546 is 2 .

LCM of Denominators means LCM of 727,7564 as per the given fractions.

LCM of 727,7564 is 5499028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2496,7546

GCF of Fractions 2496/727,7546/7564 is 2/5499028

2 2496, 7546
1248, 3773

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2496,7546 By Matching Biggest Common Factor Method

Greatest Common Factor of 2496,7546 By Matching Biggest Common Factor Method

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

Greatest Common Factor

We found the factors 2496,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,7546 is 2.

Lets's calculate LCM of 727,7564

Given numbers has no common factors except 1. So, there LCM is their product i.e 5499028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5499028

Therefore, the GCF of Fractions 2496/727,7546/7564 is 2/5499028

Least Common Multiple of 727,7564 with GCF Formula

Least Common Multiple of 727,7564 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 727,7564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,7564) = 1

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

GCF(727,7564) x common factors =1 x 1 = 1

LCM(727,7564) = ( 727 × 7564 ) / 1

LCM(727,7564) = 5499028 / 1

LCM(727,7564) = 5499028


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 2496/727, 7546/7564

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 2496/727, 7546/7564?

Answer: GCF of Numerators as per given numbers 2496/727, 7546/7564 is

GCF of Numerators i.e. for 2496,7546 is 2

LCM of denominators i.e. for 727,7564 is 5499028.

Thus, GCF of Fractions is 2/5499028.Finally, GCF of Fractions for 2496/727, 7546/7564 is 2/5499028.