Greatest Common Factor of 83/62, 20/61, 87/77, 23/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/62, 20/61, 87/77, 23/474

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 83/62,20/61,87/77,23/474

Given fractions are 83/62,20/61,87/77,23/474

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 83,20,87,23

Greatest Common Factor of Numerators i.e. GCF of 83,20,87,23 is 1 .

LCM of Denominators means LCM of 62,61,77,474 as per the given fractions.

LCM of 62,61,77,474 is 69017718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,20,87,23

GCF of Fractions 83/62,20/61,87/77,23/474 is 1/69017718

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

Greatest Common Factor of 83,20,87,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,20,87,23 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 83,20,87,23 . The biggest common factor number is the GCF number.
So the greatest common factor 83,20,87,23 is 1.

Lets's calculate LCM of 62,61,77,474

2 62, 61, 77, 474
31, 61, 77, 237

∴ So the LCM of the given numbers is 2 x 31 x 61 x 77 x 237 = 69017718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69017718

Therefore, the GCF of Fractions 83/62,20/61,87/77,23/474 is 1/69017718

Least Common Multiple of 62,61,77,474 with GCF Formula

Least Common Multiple of 62,61,77,474 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 62,61,77,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,61,77,474) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,61,77,474) x common factors =1 x 2 = 2

LCM(62,61,77,474) = ( 62 × 61 × 77 × 474 ) / 2

LCM(62,61,77,474) = 138035436 / 2

LCM(62,61,77,474) = 69017718


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 83/62, 20/61, 87/77, 23/474

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 83/62, 20/61, 87/77, 23/474?

Answer: GCF of Numerators as per given numbers 83/62, 20/61, 87/77, 23/474 is

GCF of Numerators i.e. for 83,20,87,23 is 1

LCM of denominators i.e. for 62,61,77,474 is 69017718.

Thus, GCF of Fractions is 1/69017718.Finally, GCF of Fractions for 83/62, 20/61, 87/77, 23/474 is 1/69017718.