Greatest Common Factor of 85/68, 72/58, 707/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/68, 72/58, 707/816

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 85/68,72/58,707/816

Given fractions are 85/68,72/58,707/816

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 85,72,707

Greatest Common Factor of Numerators i.e. GCF of 85,72,707 is 1 .

LCM of Denominators means LCM of 68,58,816 as per the given fractions.

LCM of 68,58,816 is 23664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,72,707

GCF of Fractions 85/68,72/58,707/816 is 1/23664

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

Greatest Common Factor of 85,72,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,72,707 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 85,72,707 . The biggest common factor number is the GCF number.
So the greatest common factor 85,72,707 is 1.

Lets's calculate LCM of 68,58,816

2 68, 58, 816
2 34, 29, 408
17 17, 29, 204
1, 29, 12

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 29 x 12 = 23664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23664

Therefore, the GCF of Fractions 85/68,72/58,707/816 is 1/23664

Least Common Multiple of 68,58,816 with GCF Formula

Least Common Multiple of 68,58,816 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 68,58,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,58,816) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,58,816) x common factors =2 x 68 = 136

LCM(68,58,816) = ( 68 × 58 × 816 ) / 136

LCM(68,58,816) = 3218304 / 136

LCM(68,58,816) = 23664


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 85/68, 72/58, 707/816

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 85/68, 72/58, 707/816?

Answer: GCF of Numerators as per given numbers 85/68, 72/58, 707/816 is

GCF of Numerators i.e. for 85,72,707 is 1

LCM of denominators i.e. for 68,58,816 is 23664.

Thus, GCF of Fractions is 1/23664.Finally, GCF of Fractions for 85/68, 72/58, 707/816 is 1/23664.