Greatest Common Factor of 93/69, 79/35, 874/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/69, 79/35, 874/854

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 93/69,79/35,874/854

Given fractions are 93/69,79/35,874/854

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 93,79,874

Greatest Common Factor of Numerators i.e. GCF of 93,79,874 is 1 .

LCM of Denominators means LCM of 69,35,854 as per the given fractions.

LCM of 69,35,854 is 294630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,79,874

GCF of Fractions 93/69,79/35,874/854 is 1/294630

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

Greatest Common Factor of 93,79,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,79,874 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 93,79,874 . The biggest common factor number is the GCF number.
So the greatest common factor 93,79,874 is 1.

Lets's calculate LCM of 69,35,854

7 69, 35, 854
69, 5, 122

∴ So the LCM of the given numbers is 7 x 69 x 5 x 122 = 294630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294630

Therefore, the GCF of Fractions 93/69,79/35,874/854 is 1/294630

Least Common Multiple of 69,35,854 with GCF Formula

Least Common Multiple of 69,35,854 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 69,35,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,35,854) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(69,35,854) x common factors =1 x 7 = 7

LCM(69,35,854) = ( 69 × 35 × 854 ) / 7

LCM(69,35,854) = 2062410 / 7

LCM(69,35,854) = 294630


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 93/69, 79/35, 874/854

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 93/69, 79/35, 874/854?

Answer: GCF of Numerators as per given numbers 93/69, 79/35, 874/854 is

GCF of Numerators i.e. for 93,79,874 is 1

LCM of denominators i.e. for 69,35,854 is 294630.

Thus, GCF of Fractions is 1/294630.Finally, GCF of Fractions for 93/69, 79/35, 874/854 is 1/294630.