Greatest Common Factor of 924/781, 364/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/781, 364/393

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 924/781,364/393

Given fractions are 924/781,364/393

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 924,364

Greatest Common Factor of Numerators i.e. GCF of 924,364 is 28 .

LCM of Denominators means LCM of 781,393 as per the given fractions.

LCM of 781,393 is 306933 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,364

GCF of Fractions 924/781,364/393 is 28/306933

2 924, 364
2 462, 182
7 231, 91
33, 13

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 924,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,364 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 924,364 . The biggest common factor number is the GCF number.
So the greatest common factor 924,364 is 28.

Lets's calculate LCM of 781,393

Given numbers has no common factors except 1. So, there LCM is their product i.e 306933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/306933

Therefore, the GCF of Fractions 924/781,364/393 is 28/306933

Least Common Multiple of 781,393 with GCF Formula

Least Common Multiple of 781,393 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 781,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,393) = 1

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

GCF(781,393) x common factors =1 x 1 = 1

LCM(781,393) = ( 781 × 393 ) / 1

LCM(781,393) = 306933 / 1

LCM(781,393) = 306933


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 924/781, 364/393

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 924/781, 364/393?

Answer: GCF of Numerators as per given numbers 924/781, 364/393 is

GCF of Numerators i.e. for 924,364 is 28

LCM of denominators i.e. for 781,393 is 306933.

Thus, GCF of Fractions is 28/306933.Finally, GCF of Fractions for 924/781, 364/393 is 28/306933.