Greatest Common Factor of 8215/755, 5072/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8215/755, 5072/824

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 8215/755,5072/824

Given fractions are 8215/755,5072/824

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 8215,5072

Greatest Common Factor of Numerators i.e. GCF of 8215,5072 is 1 .

LCM of Denominators means LCM of 755,824 as per the given fractions.

LCM of 755,824 is 622120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8215,5072

GCF of Fractions 8215/755,5072/824 is 1/622120

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

Greatest Common Factor of 8215,5072 By Matching Biggest Common Factor Method

Greatest Common Factor of 8215,5072 By Matching Biggest Common Factor Method

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1,2,4,8,16,317,634,1268,2536,5072

Greatest Common Factor

We found the factors 8215,5072 . The biggest common factor number is the GCF number.
So the greatest common factor 8215,5072 is 1.

Lets's calculate LCM of 755,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 622120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622120

Therefore, the GCF of Fractions 8215/755,5072/824 is 1/622120

Least Common Multiple of 755,824 with GCF Formula

Least Common Multiple of 755,824 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 755,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,824) = 1

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

GCF(755,824) x common factors =1 x 1 = 1

LCM(755,824) = ( 755 × 824 ) / 1

LCM(755,824) = 622120 / 1

LCM(755,824) = 622120


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 8215/755, 5072/824

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 8215/755, 5072/824?

Answer: GCF of Numerators as per given numbers 8215/755, 5072/824 is

GCF of Numerators i.e. for 8215,5072 is 1

LCM of denominators i.e. for 755,824 is 622120.

Thus, GCF of Fractions is 1/622120.Finally, GCF of Fractions for 8215/755, 5072/824 is 1/622120.