Greatest Common Factor of 45/60, 61/868, 784/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/60, 61/868, 784/131

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 45/60,61/868,784/131

Given fractions are 45/60,61/868,784/131

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 45,61,784

Greatest Common Factor of Numerators i.e. GCF of 45,61,784 is 1 .

LCM of Denominators means LCM of 60,868,131 as per the given fractions.

LCM of 60,868,131 is 1705620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,61,784

GCF of Fractions 45/60,61/868,784/131 is 1/1705620

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

Greatest Common Factor of 45,61,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,61,784 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 45,61,784 . The biggest common factor number is the GCF number.
So the greatest common factor 45,61,784 is 1.

Lets's calculate LCM of 60,868,131

2 60, 868, 131
2 30, 434, 131
15, 217, 131

∴ So the LCM of the given numbers is 2 x 2 x 15 x 217 x 131 = 1705620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705620

Therefore, the GCF of Fractions 45/60,61/868,784/131 is 1/1705620

Least Common Multiple of 60,868,131 with GCF Formula

Least Common Multiple of 60,868,131 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 60,868,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,868,131) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,868,131) x common factors =1 x 4 = 4

LCM(60,868,131) = ( 60 × 868 × 131 ) / 4

LCM(60,868,131) = 6822480 / 4

LCM(60,868,131) = 1705620


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 45/60, 61/868, 784/131

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 45/60, 61/868, 784/131?

Answer: GCF of Numerators as per given numbers 45/60, 61/868, 784/131 is

GCF of Numerators i.e. for 45,61,784 is 1

LCM of denominators i.e. for 60,868,131 is 1705620.

Thus, GCF of Fractions is 1/1705620.Finally, GCF of Fractions for 45/60, 61/868, 784/131 is 1/1705620.