Greatest Common Factor of 43/140, 46/760, 780/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/140, 46/760, 780/787

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 43/140,46/760,780/787

Given fractions are 43/140,46/760,780/787

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 43,46,780

Greatest Common Factor of Numerators i.e. GCF of 43,46,780 is 1 .

LCM of Denominators means LCM of 140,760,787 as per the given fractions.

LCM of 140,760,787 is 4186840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,46,780

GCF of Fractions 43/140,46/760,780/787 is 1/4186840

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

Greatest Common Factor of 43,46,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,46,780 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 46

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

1,2,23,46

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 43,46,780 . The biggest common factor number is the GCF number.
So the greatest common factor 43,46,780 is 1.

Lets's calculate LCM of 140,760,787

2 140, 760, 787
2 70, 380, 787
5 35, 190, 787
7, 38, 787

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 38 x 787 = 4186840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4186840

Therefore, the GCF of Fractions 43/140,46/760,780/787 is 1/4186840

Least Common Multiple of 140,760,787 with GCF Formula

Least Common Multiple of 140,760,787 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 140,760,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,760,787) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(140,760,787) x common factors =1 x 20 = 20

LCM(140,760,787) = ( 140 × 760 × 787 ) / 20

LCM(140,760,787) = 83736800 / 20

LCM(140,760,787) = 4186840


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 43/140, 46/760, 780/787

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 43/140, 46/760, 780/787?

Answer: GCF of Numerators as per given numbers 43/140, 46/760, 780/787 is

GCF of Numerators i.e. for 43,46,780 is 1

LCM of denominators i.e. for 140,760,787 is 4186840.

Thus, GCF of Fractions is 1/4186840.Finally, GCF of Fractions for 43/140, 46/760, 780/787 is 1/4186840.