Greatest Common Factor of 196/77, 592/75, 687/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/77, 592/75, 687/20

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 196/77,592/75,687/20

Given fractions are 196/77,592/75,687/20

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 196,592,687

Greatest Common Factor of Numerators i.e. GCF of 196,592,687 is 1 .

LCM of Denominators means LCM of 77,75,20 as per the given fractions.

LCM of 77,75,20 is 23100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,592,687

GCF of Fractions 196/77,592/75,687/20 is 1/23100

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

Greatest Common Factor of 196,592,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,592,687 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 196,592,687 . The biggest common factor number is the GCF number.
So the greatest common factor 196,592,687 is 1.

Lets's calculate LCM of 77,75,20

5 77, 75, 20
77, 15, 4

∴ So the LCM of the given numbers is 5 x 77 x 15 x 4 = 23100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23100

Therefore, the GCF of Fractions 196/77,592/75,687/20 is 1/23100

Least Common Multiple of 77,75,20 with GCF Formula

Least Common Multiple of 77,75,20 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 77,75,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,75,20) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(77,75,20) x common factors =1 x 5 = 5

LCM(77,75,20) = ( 77 × 75 × 20 ) / 5

LCM(77,75,20) = 115500 / 5

LCM(77,75,20) = 23100


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 196/77, 592/75, 687/20

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 196/77, 592/75, 687/20?

Answer: GCF of Numerators as per given numbers 196/77, 592/75, 687/20 is

GCF of Numerators i.e. for 196,592,687 is 1

LCM of denominators i.e. for 77,75,20 is 23100.

Thus, GCF of Fractions is 1/23100.Finally, GCF of Fractions for 196/77, 592/75, 687/20 is 1/23100.