Greatest Common Factor of 72/860, 7927/8312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/860, 7927/8312

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 72/860,7927/8312

Given fractions are 72/860,7927/8312

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 72,7927

Greatest Common Factor of Numerators i.e. GCF of 72,7927 is 1 .

LCM of Denominators means LCM of 860,8312 as per the given fractions.

LCM of 860,8312 is 1787080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,7927

GCF of Fractions 72/860,7927/8312 is 1/1787080

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

Greatest Common Factor of 72,7927 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7927 By Matching Biggest Common Factor Method

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 7927

List of positive integer factors of 7927 that divides 7927 without a remainder.

1,7927

Greatest Common Factor

We found the factors 72,7927 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7927 is 1.

Lets's calculate LCM of 860,8312

2 860, 8312
2 430, 4156
215, 2078

∴ So the LCM of the given numbers is 2 x 2 x 215 x 2078 = 1787080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1787080

Therefore, the GCF of Fractions 72/860,7927/8312 is 1/1787080

Least Common Multiple of 860,8312 with GCF Formula

Least Common Multiple of 860,8312 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 860,8312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,8312) = 4

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

GCF(860,8312) x common factors =4 x 1 = 4

LCM(860,8312) = ( 860 × 8312 ) / 4

LCM(860,8312) = 7148320 / 4

LCM(860,8312) = 1787080


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 72/860, 7927/8312

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 72/860, 7927/8312?

Answer: GCF of Numerators as per given numbers 72/860, 7927/8312 is

GCF of Numerators i.e. for 72,7927 is 1

LCM of denominators i.e. for 860,8312 is 1787080.

Thus, GCF of Fractions is 1/1787080.Finally, GCF of Fractions for 72/860, 7927/8312 is 1/1787080.