Greatest Common Factor of 1268/44, 3836/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1268/44, 3836/921

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 1268/44,3836/921

Given fractions are 1268/44,3836/921

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 1268,3836

Greatest Common Factor of Numerators i.e. GCF of 1268,3836 is 4 .

LCM of Denominators means LCM of 44,921 as per the given fractions.

LCM of 44,921 is 40524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1268,3836

GCF of Fractions 1268/44,3836/921 is 4/40524

2 1268, 3836
2 634, 1918
317, 959

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1268,3836 By Matching Biggest Common Factor Method

Greatest Common Factor of 1268,3836 By Matching Biggest Common Factor Method

Factors of 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1,2,4,317,634,1268

Factors of 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1,2,4,7,14,28,137,274,548,959,1918,3836

Greatest Common Factor

We found the factors 1268,3836 . The biggest common factor number is the GCF number.
So the greatest common factor 1268,3836 is 4.

Lets's calculate LCM of 44,921

Given numbers has no common factors except 1. So, there LCM is their product i.e 40524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40524

Therefore, the GCF of Fractions 1268/44,3836/921 is 4/40524

Least Common Multiple of 44,921 with GCF Formula

Least Common Multiple of 44,921 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 44,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,921) = 1

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

GCF(44,921) x common factors =1 x 1 = 1

LCM(44,921) = ( 44 × 921 ) / 1

LCM(44,921) = 40524 / 1

LCM(44,921) = 40524


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 1268/44, 3836/921

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 1268/44, 3836/921?

Answer: GCF of Numerators as per given numbers 1268/44, 3836/921 is

GCF of Numerators i.e. for 1268,3836 is 4

LCM of denominators i.e. for 44,921 is 40524.

Thus, GCF of Fractions is 4/40524.Finally, GCF of Fractions for 1268/44, 3836/921 is 4/40524.