Greatest Common Factor of 8525/305, 1915/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8525/305, 1915/236

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 8525/305,1915/236

Given fractions are 8525/305,1915/236

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 8525,1915

Greatest Common Factor of Numerators i.e. GCF of 8525,1915 is 5 .

LCM of Denominators means LCM of 305,236 as per the given fractions.

LCM of 305,236 is 71980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8525,1915

GCF of Fractions 8525/305,1915/236 is 5/71980

5 8525, 1915
1705, 383

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8525,1915 By Matching Biggest Common Factor Method

Greatest Common Factor of 8525,1915 By Matching Biggest Common Factor Method

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Factors of 1915

List of positive integer factors of 1915 that divides 1915 without a remainder.

1,5,383,1915

Greatest Common Factor

We found the factors 8525,1915 . The biggest common factor number is the GCF number.
So the greatest common factor 8525,1915 is 5.

Lets's calculate LCM of 305,236

Given numbers has no common factors except 1. So, there LCM is their product i.e 71980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/71980

Therefore, the GCF of Fractions 8525/305,1915/236 is 5/71980

Least Common Multiple of 305,236 with GCF Formula

Least Common Multiple of 305,236 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 305,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,236) = 1

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

GCF(305,236) x common factors =1 x 1 = 1

LCM(305,236) = ( 305 × 236 ) / 1

LCM(305,236) = 71980 / 1

LCM(305,236) = 71980


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 8525/305, 1915/236

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 8525/305, 1915/236?

Answer: GCF of Numerators as per given numbers 8525/305, 1915/236 is

GCF of Numerators i.e. for 8525,1915 is 5

LCM of denominators i.e. for 305,236 is 71980.

Thus, GCF of Fractions is 5/71980.Finally, GCF of Fractions for 8525/305, 1915/236 is 5/71980.