Greatest Common Factor of 93/692, 69/521, 249/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/692, 69/521, 249/124

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 93/692,69/521,249/124

Given fractions are 93/692,69/521,249/124

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 93,69,249

Greatest Common Factor of Numerators i.e. GCF of 93,69,249 is 3 .

LCM of Denominators means LCM of 692,521,124 as per the given fractions.

LCM of 692,521,124 is 11176492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,69,249

GCF of Fractions 93/692,69/521,249/124 is 3/11176492

3 93, 69, 249
31, 23, 83

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 93,69,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,69,249 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 93,69,249 . The biggest common factor number is the GCF number.
So the greatest common factor 93,69,249 is 3.

Lets's calculate LCM of 692,521,124

2 692, 521, 124
2 346, 521, 62
173, 521, 31

∴ So the LCM of the given numbers is 2 x 2 x 173 x 521 x 31 = 11176492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11176492

Therefore, the GCF of Fractions 93/692,69/521,249/124 is 3/11176492

Least Common Multiple of 692,521,124 with GCF Formula

Least Common Multiple of 692,521,124 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 692,521,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,521,124) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(692,521,124) x common factors =1 x 4 = 4

LCM(692,521,124) = ( 692 × 521 × 124 ) / 4

LCM(692,521,124) = 44705968 / 4

LCM(692,521,124) = 11176492


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 93/692, 69/521, 249/124

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 93/692, 69/521, 249/124?

Answer: GCF of Numerators as per given numbers 93/692, 69/521, 249/124 is

GCF of Numerators i.e. for 93,69,249 is 3

LCM of denominators i.e. for 692,521,124 is 11176492.

Thus, GCF of Fractions is 3/11176492.Finally, GCF of Fractions for 93/692, 69/521, 249/124 is 3/11176492.