Greatest Common Factor of 1875/74, 2815/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1875/74, 2815/515

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 1875/74,2815/515

Given fractions are 1875/74,2815/515

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 1875,2815

Greatest Common Factor of Numerators i.e. GCF of 1875,2815 is 5 .

LCM of Denominators means LCM of 74,515 as per the given fractions.

LCM of 74,515 is 38110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1875,2815

GCF of Fractions 1875/74,2815/515 is 5/38110

5 1875, 2815
375, 563

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

Greatest Common Factor of 1875,2815 By Matching Biggest Common Factor Method

Greatest Common Factor of 1875,2815 By Matching Biggest Common Factor Method

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Factors of 2815

List of positive integer factors of 2815 that divides 2815 without a remainder.

1,5,563,2815

Greatest Common Factor

We found the factors 1875,2815 . The biggest common factor number is the GCF number.
So the greatest common factor 1875,2815 is 5.

Lets's calculate LCM of 74,515

Given numbers has no common factors except 1. So, there LCM is their product i.e 38110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38110

Therefore, the GCF of Fractions 1875/74,2815/515 is 5/38110

Least Common Multiple of 74,515 with GCF Formula

Least Common Multiple of 74,515 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 74,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,515) = 1

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

GCF(74,515) x common factors =1 x 1 = 1

LCM(74,515) = ( 74 × 515 ) / 1

LCM(74,515) = 38110 / 1

LCM(74,515) = 38110


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 1875/74, 2815/515

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 1875/74, 2815/515?

Answer: GCF of Numerators as per given numbers 1875/74, 2815/515 is

GCF of Numerators i.e. for 1875,2815 is 5

LCM of denominators i.e. for 74,515 is 38110.

Thus, GCF of Fractions is 5/38110.Finally, GCF of Fractions for 1875/74, 2815/515 is 5/38110.