Greatest Common Factor of 276/34, 658/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 276/34, 658/475

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 276/34,658/475

Given fractions are 276/34,658/475

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 276,658

Greatest Common Factor of Numerators i.e. GCF of 276,658 is 2 .

LCM of Denominators means LCM of 34,475 as per the given fractions.

LCM of 34,475 is 16150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 276,658

GCF of Fractions 276/34,658/475 is 2/16150

2 276, 658
138, 329

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 276,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,658 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 276,658 . The biggest common factor number is the GCF number.
So the greatest common factor 276,658 is 2.

Lets's calculate LCM of 34,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 16150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16150

Therefore, the GCF of Fractions 276/34,658/475 is 2/16150

Least Common Multiple of 34,475 with GCF Formula

Least Common Multiple of 34,475 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 34,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,475) = 1

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

GCF(34,475) x common factors =1 x 1 = 1

LCM(34,475) = ( 34 × 475 ) / 1

LCM(34,475) = 16150 / 1

LCM(34,475) = 16150


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 276/34, 658/475

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 276/34, 658/475?

Answer: GCF of Numerators as per given numbers 276/34, 658/475 is

GCF of Numerators i.e. for 276,658 is 2

LCM of denominators i.e. for 34,475 is 16150.

Thus, GCF of Fractions is 2/16150.Finally, GCF of Fractions for 276/34, 658/475 is 2/16150.