Greatest Common Factor of 1675/65, 2575/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1675/65, 2575/218

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 1675/65,2575/218

Given fractions are 1675/65,2575/218

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 1675,2575

Greatest Common Factor of Numerators i.e. GCF of 1675,2575 is 25 .

LCM of Denominators means LCM of 65,218 as per the given fractions.

LCM of 65,218 is 14170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1675,2575

GCF of Fractions 1675/65,2575/218 is 25/14170

5 1675, 2575
5 335, 515
67, 103

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 1675,2575 By Matching Biggest Common Factor Method

Greatest Common Factor of 1675,2575 By Matching Biggest Common Factor Method

Factors of 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1,5,25,67,335,1675

Factors of 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1,5,25,103,515,2575

Greatest Common Factor

We found the factors 1675,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 1675,2575 is 25.

Lets's calculate LCM of 65,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 14170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/14170

Therefore, the GCF of Fractions 1675/65,2575/218 is 25/14170

Least Common Multiple of 65,218 with GCF Formula

Least Common Multiple of 65,218 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 65,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,218) = 1

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

GCF(65,218) x common factors =1 x 1 = 1

LCM(65,218) = ( 65 × 218 ) / 1

LCM(65,218) = 14170 / 1

LCM(65,218) = 14170


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 1675/65, 2575/218

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 1675/65, 2575/218?

Answer: GCF of Numerators as per given numbers 1675/65, 2575/218 is

GCF of Numerators i.e. for 1675,2575 is 25

LCM of denominators i.e. for 65,218 is 14170.

Thus, GCF of Fractions is 25/14170.Finally, GCF of Fractions for 1675/65, 2575/218 is 25/14170.