Greatest Common Factor of 7975/424, 3506/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7975/424, 3506/265

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 7975/424,3506/265

Given fractions are 7975/424,3506/265

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 7975,3506

Greatest Common Factor of Numerators i.e. GCF of 7975,3506 is 1 .

LCM of Denominators means LCM of 424,265 as per the given fractions.

LCM of 424,265 is 2120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7975,3506

GCF of Fractions 7975/424,3506/265 is 1/2120

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

Greatest Common Factor of 7975,3506 By Matching Biggest Common Factor Method

Greatest Common Factor of 7975,3506 By Matching Biggest Common Factor Method

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Greatest Common Factor

We found the factors 7975,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 7975,3506 is 1.

Lets's calculate LCM of 424,265

53 424, 265
8, 5

∴ So the LCM of the given numbers is 53 x 8 x 5 = 2120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2120

Therefore, the GCF of Fractions 7975/424,3506/265 is 1/2120

Least Common Multiple of 424,265 with GCF Formula

Least Common Multiple of 424,265 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 424,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,265) = 53

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

GCF(424,265) x common factors =53 x 1 = 53

LCM(424,265) = ( 424 × 265 ) / 53

LCM(424,265) = 112360 / 53

LCM(424,265) = 2120


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 7975/424, 3506/265

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 7975/424, 3506/265?

Answer: GCF of Numerators as per given numbers 7975/424, 3506/265 is

GCF of Numerators i.e. for 7975,3506 is 1

LCM of denominators i.e. for 424,265 is 2120.

Thus, GCF of Fractions is 1/2120.Finally, GCF of Fractions for 7975/424, 3506/265 is 1/2120.