Greatest Common Factor of 88/24, 293/49, 767/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/24, 293/49, 767/252

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 88/24,293/49,767/252

Given fractions are 88/24,293/49,767/252

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 88,293,767

Greatest Common Factor of Numerators i.e. GCF of 88,293,767 is 1 .

LCM of Denominators means LCM of 24,49,252 as per the given fractions.

LCM of 24,49,252 is 3528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,293,767

GCF of Fractions 88/24,293/49,767/252 is 1/3528

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

Greatest Common Factor of 88,293,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,293,767 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 88,293,767 . The biggest common factor number is the GCF number.
So the greatest common factor 88,293,767 is 1.

Lets's calculate LCM of 24,49,252

2 24, 49, 252
2 12, 49, 126
3 6, 49, 63
7 2, 49, 21
2, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 2 x 7 x 3 = 3528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3528

Therefore, the GCF of Fractions 88/24,293/49,767/252 is 1/3528

Least Common Multiple of 24,49,252 with GCF Formula

Least Common Multiple of 24,49,252 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 24,49,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,49,252) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(24,49,252) x common factors =1 x 84 = 84

LCM(24,49,252) = ( 24 × 49 × 252 ) / 84

LCM(24,49,252) = 296352 / 84

LCM(24,49,252) = 3528


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 88/24, 293/49, 767/252

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 88/24, 293/49, 767/252?

Answer: GCF of Numerators as per given numbers 88/24, 293/49, 767/252 is

GCF of Numerators i.e. for 88,293,767 is 1

LCM of denominators i.e. for 24,49,252 is 3528.

Thus, GCF of Fractions is 1/3528.Finally, GCF of Fractions for 88/24, 293/49, 767/252 is 1/3528.