Greatest Common Factor of 84/73, 77/74, 649/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/73, 77/74, 649/572

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 84/73,77/74,649/572

Given fractions are 84/73,77/74,649/572

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 84,77,649

Greatest Common Factor of Numerators i.e. GCF of 84,77,649 is 1 .

LCM of Denominators means LCM of 73,74,572 as per the given fractions.

LCM of 73,74,572 is 1544972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,77,649

GCF of Fractions 84/73,77/74,649/572 is 1/1544972

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

Greatest Common Factor of 84,77,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,77,649 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 84,77,649 . The biggest common factor number is the GCF number.
So the greatest common factor 84,77,649 is 1.

Lets's calculate LCM of 73,74,572

2 73, 74, 572
73, 37, 286

∴ So the LCM of the given numbers is 2 x 73 x 37 x 286 = 1544972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1544972

Therefore, the GCF of Fractions 84/73,77/74,649/572 is 1/1544972

Least Common Multiple of 73,74,572 with GCF Formula

Least Common Multiple of 73,74,572 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 73,74,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,74,572) = 1

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

GCF(73,74,572) x common factors =1 x 2 = 2

LCM(73,74,572) = ( 73 × 74 × 572 ) / 2

LCM(73,74,572) = 3089944 / 2

LCM(73,74,572) = 1544972


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 84/73, 77/74, 649/572

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 84/73, 77/74, 649/572?

Answer: GCF of Numerators as per given numbers 84/73, 77/74, 649/572 is

GCF of Numerators i.e. for 84,77,649 is 1

LCM of denominators i.e. for 73,74,572 is 1544972.

Thus, GCF of Fractions is 1/1544972.Finally, GCF of Fractions for 84/73, 77/74, 649/572 is 1/1544972.