Greatest Common Factor of 4268/527, 1006/1021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4268/527, 1006/1021

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 4268/527,1006/1021

Given fractions are 4268/527,1006/1021

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 4268,1006

Greatest Common Factor of Numerators i.e. GCF of 4268,1006 is 2 .

LCM of Denominators means LCM of 527,1021 as per the given fractions.

LCM of 527,1021 is 538067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4268,1006

GCF of Fractions 4268/527,1006/1021 is 2/538067

2 4268, 1006
2134, 503

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

Greatest Common Factor of 4268,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 4268,1006 By Matching Biggest Common Factor Method

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Greatest Common Factor

We found the factors 4268,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 4268,1006 is 2.

Lets's calculate LCM of 527,1021

Given numbers has no common factors except 1. So, there LCM is their product i.e 538067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/538067

Therefore, the GCF of Fractions 4268/527,1006/1021 is 2/538067

Least Common Multiple of 527,1021 with GCF Formula

Least Common Multiple of 527,1021 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 527,1021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,1021) = 1

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

GCF(527,1021) x common factors =1 x 1 = 1

LCM(527,1021) = ( 527 × 1021 ) / 1

LCM(527,1021) = 538067 / 1

LCM(527,1021) = 538067


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 4268/527, 1006/1021

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 4268/527, 1006/1021?

Answer: GCF of Numerators as per given numbers 4268/527, 1006/1021 is

GCF of Numerators i.e. for 4268,1006 is 2

LCM of denominators i.e. for 527,1021 is 538067.

Thus, GCF of Fractions is 2/538067.Finally, GCF of Fractions for 4268/527, 1006/1021 is 2/538067.