Greatest Common Factor of 46/60, 36/25, 78/31, 89/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/60, 36/25, 78/31, 89/220

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 46/60,36/25,78/31,89/220

Given fractions are 46/60,36/25,78/31,89/220

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 46,36,78,89

Greatest Common Factor of Numerators i.e. GCF of 46,36,78,89 is 1 .

LCM of Denominators means LCM of 60,25,31,220 as per the given fractions.

LCM of 60,25,31,220 is 102300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,36,78,89

GCF of Fractions 46/60,36/25,78/31,89/220 is 1/102300

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

Greatest Common Factor of 46,36,78,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,36,78,89 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 46,36,78,89 . The biggest common factor number is the GCF number.
So the greatest common factor 46,36,78,89 is 1.

Lets's calculate LCM of 60,25,31,220

2 60, 25, 31, 220
2 30, 25, 31, 110
5 15, 25, 31, 55
3, 5, 31, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 5 x 31 x 11 = 102300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102300

Therefore, the GCF of Fractions 46/60,36/25,78/31,89/220 is 1/102300

Least Common Multiple of 60,25,31,220 with GCF Formula

Least Common Multiple of 60,25,31,220 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 60,25,31,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,25,31,220) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(60,25,31,220) x common factors =1 x 100 = 100

LCM(60,25,31,220) = ( 60 × 25 × 31 × 220 ) / 100

LCM(60,25,31,220) = 10230000 / 100

LCM(60,25,31,220) = 102300


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 46/60, 36/25, 78/31, 89/220

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 46/60, 36/25, 78/31, 89/220?

Answer: GCF of Numerators as per given numbers 46/60, 36/25, 78/31, 89/220 is

GCF of Numerators i.e. for 46,36,78,89 is 1

LCM of denominators i.e. for 60,25,31,220 is 102300.

Thus, GCF of Fractions is 1/102300.Finally, GCF of Fractions for 46/60, 36/25, 78/31, 89/220 is 1/102300.