Greatest Common Factor of 62/45, 43/18, 76/77, 786/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/45, 43/18, 76/77, 786/21

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 62/45,43/18,76/77,786/21

Given fractions are 62/45,43/18,76/77,786/21

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 62,43,76,786

Greatest Common Factor of Numerators i.e. GCF of 62,43,76,786 is 1 .

LCM of Denominators means LCM of 45,18,77,21 as per the given fractions.

LCM of 45,18,77,21 is 6930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,43,76,786

GCF of Fractions 62/45,43/18,76/77,786/21 is 1/6930

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

Greatest Common Factor of 62,43,76,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,43,76,786 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 43

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

1,43

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 62,43,76,786 . The biggest common factor number is the GCF number.
So the greatest common factor 62,43,76,786 is 1.

Lets's calculate LCM of 45,18,77,21

3 45, 18, 77, 21
3 15, 6, 77, 7
7 5, 2, 77, 7
5, 2, 11, 1

∴ So the LCM of the given numbers is 3 x 3 x 7 x 5 x 2 x 11 x 1 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930

Therefore, the GCF of Fractions 62/45,43/18,76/77,786/21 is 1/6930

Least Common Multiple of 45,18,77,21 with GCF Formula

Least Common Multiple of 45,18,77,21 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 45,18,77,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,18,77,21) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(45,18,77,21) x common factors =1 x 189 = 189

LCM(45,18,77,21) = ( 45 × 18 × 77 × 21 ) / 189

LCM(45,18,77,21) = 1309770 / 189

LCM(45,18,77,21) = 6930


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 62/45, 43/18, 76/77, 786/21

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 62/45, 43/18, 76/77, 786/21?

Answer: GCF of Numerators as per given numbers 62/45, 43/18, 76/77, 786/21 is

GCF of Numerators i.e. for 62,43,76,786 is 1

LCM of denominators i.e. for 45,18,77,21 is 6930.

Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 62/45, 43/18, 76/77, 786/21 is 1/6930.