Greatest Common Factor of 2609/76, 2075/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2609/76, 2075/617

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 2609/76,2075/617

Given fractions are 2609/76,2075/617

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 2609,2075

Greatest Common Factor of Numerators i.e. GCF of 2609,2075 is 1 .

LCM of Denominators means LCM of 76,617 as per the given fractions.

LCM of 76,617 is 46892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2609,2075

GCF of Fractions 2609/76,2075/617 is 1/46892

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

Greatest Common Factor of 2609,2075 By Matching Biggest Common Factor Method

Greatest Common Factor of 2609,2075 By Matching Biggest Common Factor Method

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1,2609

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1,5,25,83,415,2075

Greatest Common Factor

We found the factors 2609,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 2609,2075 is 1.

Lets's calculate LCM of 76,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 46892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46892

Therefore, the GCF of Fractions 2609/76,2075/617 is 1/46892

Least Common Multiple of 76,617 with GCF Formula

Least Common Multiple of 76,617 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 76,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,617) = 1

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

GCF(76,617) x common factors =1 x 1 = 1

LCM(76,617) = ( 76 × 617 ) / 1

LCM(76,617) = 46892 / 1

LCM(76,617) = 46892


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 2609/76, 2075/617

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 2609/76, 2075/617?

Answer: GCF of Numerators as per given numbers 2609/76, 2075/617 is

GCF of Numerators i.e. for 2609,2075 is 1

LCM of denominators i.e. for 76,617 is 46892.

Thus, GCF of Fractions is 1/46892.Finally, GCF of Fractions for 2609/76, 2075/617 is 1/46892.