Greatest Common Factor of 34/48, 952/57, 775/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/48, 952/57, 775/293

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 34/48,952/57,775/293

Given fractions are 34/48,952/57,775/293

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 34,952,775

Greatest Common Factor of Numerators i.e. GCF of 34,952,775 is 1 .

LCM of Denominators means LCM of 48,57,293 as per the given fractions.

LCM of 48,57,293 is 267216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,952,775

GCF of Fractions 34/48,952/57,775/293 is 1/267216

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

Greatest Common Factor of 34,952,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,952,775 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 34,952,775 . The biggest common factor number is the GCF number.
So the greatest common factor 34,952,775 is 1.

Lets's calculate LCM of 48,57,293

3 48, 57, 293
16, 19, 293

∴ So the LCM of the given numbers is 3 x 16 x 19 x 293 = 267216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267216

Therefore, the GCF of Fractions 34/48,952/57,775/293 is 1/267216

Least Common Multiple of 48,57,293 with GCF Formula

Least Common Multiple of 48,57,293 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 48,57,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,57,293) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,57,293) x common factors =1 x 3 = 3

LCM(48,57,293) = ( 48 × 57 × 293 ) / 3

LCM(48,57,293) = 801648 / 3

LCM(48,57,293) = 267216


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 34/48, 952/57, 775/293

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 34/48, 952/57, 775/293?

Answer: GCF of Numerators as per given numbers 34/48, 952/57, 775/293 is

GCF of Numerators i.e. for 34,952,775 is 1

LCM of denominators i.e. for 48,57,293 is 267216.

Thus, GCF of Fractions is 1/267216.Finally, GCF of Fractions for 34/48, 952/57, 775/293 is 1/267216.