Greatest Common Factor of 8527/737, 4084/8988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8527/737, 4084/8988

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 8527/737,4084/8988

Given fractions are 8527/737,4084/8988

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 8527,4084

Greatest Common Factor of Numerators i.e. GCF of 8527,4084 is 1 .

LCM of Denominators means LCM of 737,8988 as per the given fractions.

LCM of 737,8988 is 6624156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8527,4084

GCF of Fractions 8527/737,4084/8988 is 1/6624156

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8527,4084 By Matching Biggest Common Factor Method

Greatest Common Factor of 8527,4084 By Matching Biggest Common Factor Method

Factors of 8527

List of positive integer factors of 8527 that divides 8527 without a remainder.

1,8527

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1,2,4,1021,2042,4084

Greatest Common Factor

We found the factors 8527,4084 . The biggest common factor number is the GCF number.
So the greatest common factor 8527,4084 is 1.

Lets's calculate LCM of 737,8988

Given numbers has no common factors except 1. So, there LCM is their product i.e 6624156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6624156

Therefore, the GCF of Fractions 8527/737,4084/8988 is 1/6624156

Least Common Multiple of 737,8988 with GCF Formula

Least Common Multiple of 737,8988 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 737,8988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,8988) = 1

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

GCF(737,8988) x common factors =1 x 1 = 1

LCM(737,8988) = ( 737 × 8988 ) / 1

LCM(737,8988) = 6624156 / 1

LCM(737,8988) = 6624156


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 8527/737, 4084/8988

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 8527/737, 4084/8988?

Answer: GCF of Numerators as per given numbers 8527/737, 4084/8988 is

GCF of Numerators i.e. for 8527,4084 is 1

LCM of denominators i.e. for 737,8988 is 6624156.

Thus, GCF of Fractions is 1/6624156.Finally, GCF of Fractions for 8527/737, 4084/8988 is 1/6624156.