Greatest Common Factor of 2475/967, 7065/1255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2475/967, 7065/1255

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 2475/967,7065/1255

Given fractions are 2475/967,7065/1255

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 2475,7065

Greatest Common Factor of Numerators i.e. GCF of 2475,7065 is 45 .

LCM of Denominators means LCM of 967,1255 as per the given fractions.

LCM of 967,1255 is 1213585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2475,7065

GCF of Fractions 2475/967,7065/1255 is 45/1213585

3 2475, 7065
3 825, 2355
5 275, 785
55, 157

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 2475,7065 By Matching Biggest Common Factor Method

Greatest Common Factor of 2475,7065 By Matching Biggest Common Factor Method

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Greatest Common Factor

We found the factors 2475,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 2475,7065 is 45.

Lets's calculate LCM of 967,1255

Given numbers has no common factors except 1. So, there LCM is their product i.e 1213585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/1213585

Therefore, the GCF of Fractions 2475/967,7065/1255 is 45/1213585

Least Common Multiple of 967,1255 with GCF Formula

Least Common Multiple of 967,1255 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 967,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,1255) = 1

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

GCF(967,1255) x common factors =1 x 1 = 1

LCM(967,1255) = ( 967 × 1255 ) / 1

LCM(967,1255) = 1213585 / 1

LCM(967,1255) = 1213585


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 2475/967, 7065/1255

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 2475/967, 7065/1255?

Answer: GCF of Numerators as per given numbers 2475/967, 7065/1255 is

GCF of Numerators i.e. for 2475,7065 is 45

LCM of denominators i.e. for 967,1255 is 1213585.

Thus, GCF of Fractions is 45/1213585.Finally, GCF of Fractions for 2475/967, 7065/1255 is 45/1213585.