Greatest Common Factor of 875/69, 393/38, 351/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/69, 393/38, 351/247

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 875/69,393/38,351/247

Given fractions are 875/69,393/38,351/247

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 875,393,351

Greatest Common Factor of Numerators i.e. GCF of 875,393,351 is 1 .

LCM of Denominators means LCM of 69,38,247 as per the given fractions.

LCM of 69,38,247 is 34086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,393,351

GCF of Fractions 875/69,393/38,351/247 is 1/34086

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

Greatest Common Factor of 875,393,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,393,351 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 875,393,351 . The biggest common factor number is the GCF number.
So the greatest common factor 875,393,351 is 1.

Lets's calculate LCM of 69,38,247

19 69, 38, 247
69, 2, 13

∴ So the LCM of the given numbers is 19 x 69 x 2 x 13 = 34086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34086

Therefore, the GCF of Fractions 875/69,393/38,351/247 is 1/34086

Least Common Multiple of 69,38,247 with GCF Formula

Least Common Multiple of 69,38,247 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 69,38,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,38,247) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(69,38,247) x common factors =1 x 19 = 19

LCM(69,38,247) = ( 69 × 38 × 247 ) / 19

LCM(69,38,247) = 647634 / 19

LCM(69,38,247) = 34086


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 875/69, 393/38, 351/247

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 875/69, 393/38, 351/247?

Answer: GCF of Numerators as per given numbers 875/69, 393/38, 351/247 is

GCF of Numerators i.e. for 875,393,351 is 1

LCM of denominators i.e. for 69,38,247 is 34086.

Thus, GCF of Fractions is 1/34086.Finally, GCF of Fractions for 875/69, 393/38, 351/247 is 1/34086.