Greatest Common Factor of 8524/934, 8060/1155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8524/934, 8060/1155

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 8524/934,8060/1155

Given fractions are 8524/934,8060/1155

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 8524,8060

Greatest Common Factor of Numerators i.e. GCF of 8524,8060 is 4 .

LCM of Denominators means LCM of 934,1155 as per the given fractions.

LCM of 934,1155 is 1078770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8524,8060

GCF of Fractions 8524/934,8060/1155 is 4/1078770

2 8524, 8060
2 4262, 4030
2131, 2015

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

Greatest Common Factor of 8524,8060 By Matching Biggest Common Factor Method

Greatest Common Factor of 8524,8060 By Matching Biggest Common Factor Method

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Factors of 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060

Greatest Common Factor

We found the factors 8524,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 8524,8060 is 4.

Lets's calculate LCM of 934,1155

Given numbers has no common factors except 1. So, there LCM is their product i.e 1078770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1078770

Therefore, the GCF of Fractions 8524/934,8060/1155 is 4/1078770

Least Common Multiple of 934,1155 with GCF Formula

Least Common Multiple of 934,1155 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 934,1155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,1155) = 1

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

GCF(934,1155) x common factors =1 x 1 = 1

LCM(934,1155) = ( 934 × 1155 ) / 1

LCM(934,1155) = 1078770 / 1

LCM(934,1155) = 1078770


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 8524/934, 8060/1155

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 8524/934, 8060/1155?

Answer: GCF of Numerators as per given numbers 8524/934, 8060/1155 is

GCF of Numerators i.e. for 8524,8060 is 4

LCM of denominators i.e. for 934,1155 is 1078770.

Thus, GCF of Fractions is 4/1078770.Finally, GCF of Fractions for 8524/934, 8060/1155 is 4/1078770.