Greatest Common Factor of 96/84, 50/77, 23/85, 63/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/84, 50/77, 23/85, 63/992

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 96/84,50/77,23/85,63/992

Given fractions are 96/84,50/77,23/85,63/992

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 96,50,23,63

Greatest Common Factor of Numerators i.e. GCF of 96,50,23,63 is 1 .

LCM of Denominators means LCM of 84,77,85,992 as per the given fractions.

LCM of 84,77,85,992 is 19477920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,50,23,63

GCF of Fractions 96/84,50/77,23/85,63/992 is 1/19477920

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

Greatest Common Factor of 96,50,23,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,50,23,63 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 23

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

1,23

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 96,50,23,63 . The biggest common factor number is the GCF number.
So the greatest common factor 96,50,23,63 is 1.

Lets's calculate LCM of 84,77,85,992

2 84, 77, 85, 992
2 42, 77, 85, 496
7 21, 77, 85, 248
3, 11, 85, 248

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 11 x 85 x 248 = 19477920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19477920

Therefore, the GCF of Fractions 96/84,50/77,23/85,63/992 is 1/19477920

Least Common Multiple of 84,77,85,992 with GCF Formula

Least Common Multiple of 84,77,85,992 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 84,77,85,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,77,85,992) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(84,77,85,992) x common factors =1 x 28 = 28

LCM(84,77,85,992) = ( 84 × 77 × 85 × 992 ) / 28

LCM(84,77,85,992) = 545381760 / 28

LCM(84,77,85,992) = 19477920


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 96/84, 50/77, 23/85, 63/992

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 96/84, 50/77, 23/85, 63/992?

Answer: GCF of Numerators as per given numbers 96/84, 50/77, 23/85, 63/992 is

GCF of Numerators i.e. for 96,50,23,63 is 1

LCM of denominators i.e. for 84,77,85,992 is 19477920.

Thus, GCF of Fractions is 1/19477920.Finally, GCF of Fractions for 96/84, 50/77, 23/85, 63/992 is 1/19477920.