Greatest Common Factor of 924/88, 286/3379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/88, 286/3379

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 924/88,286/3379

Given fractions are 924/88,286/3379

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 924,286

Greatest Common Factor of Numerators i.e. GCF of 924,286 is 22 .

LCM of Denominators means LCM of 88,3379 as per the given fractions.

LCM of 88,3379 is 297352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,286

GCF of Fractions 924/88,286/3379 is 22/297352

2 924, 286
11 462, 143
42, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 924,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,286 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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 924,286 . The biggest common factor number is the GCF number.
So the greatest common factor 924,286 is 22.

Lets's calculate LCM of 88,3379

Given numbers has no common factors except 1. So, there LCM is their product i.e 297352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/297352

Therefore, the GCF of Fractions 924/88,286/3379 is 22/297352

Least Common Multiple of 88,3379 with GCF Formula

Least Common Multiple of 88,3379 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 88,3379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,3379) = 1

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

GCF(88,3379) x common factors =1 x 1 = 1

LCM(88,3379) = ( 88 × 3379 ) / 1

LCM(88,3379) = 297352 / 1

LCM(88,3379) = 297352


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 924/88, 286/3379

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 924/88, 286/3379?

Answer: GCF of Numerators as per given numbers 924/88, 286/3379 is

GCF of Numerators i.e. for 924,286 is 22

LCM of denominators i.e. for 88,3379 is 297352.

Thus, GCF of Fractions is 22/297352.Finally, GCF of Fractions for 924/88, 286/3379 is 22/297352.