Greatest Common Factor of 8942/506, 7533/8414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8942/506, 7533/8414

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 8942/506,7533/8414

Given fractions are 8942/506,7533/8414

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 8942,7533

Greatest Common Factor of Numerators i.e. GCF of 8942,7533 is 1 .

LCM of Denominators means LCM of 506,8414 as per the given fractions.

LCM of 506,8414 is 2128742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8942,7533

GCF of Fractions 8942/506,7533/8414 is 1/2128742

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

Greatest Common Factor of 8942,7533 By Matching Biggest Common Factor Method

Greatest Common Factor of 8942,7533 By Matching Biggest Common Factor Method

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1,3,9,27,31,81,93,243,279,837,2511,7533

Greatest Common Factor

We found the factors 8942,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 8942,7533 is 1.

Lets's calculate LCM of 506,8414

2 506, 8414
253, 4207

∴ So the LCM of the given numbers is 2 x 253 x 4207 = 2128742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2128742

Therefore, the GCF of Fractions 8942/506,7533/8414 is 1/2128742

Least Common Multiple of 506,8414 with GCF Formula

Least Common Multiple of 506,8414 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 506,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,8414) = 2

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

GCF(506,8414) x common factors =2 x 1 = 2

LCM(506,8414) = ( 506 × 8414 ) / 2

LCM(506,8414) = 4257484 / 2

LCM(506,8414) = 2128742


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 8942/506, 7533/8414

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 8942/506, 7533/8414?

Answer: GCF of Numerators as per given numbers 8942/506, 7533/8414 is

GCF of Numerators i.e. for 8942,7533 is 1

LCM of denominators i.e. for 506,8414 is 2128742.

Thus, GCF of Fractions is 1/2128742.Finally, GCF of Fractions for 8942/506, 7533/8414 is 1/2128742.