Greatest Common Factor of 49/76, 84/72, 85/72, 43/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/76, 84/72, 85/72, 43/561

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 49/76,84/72,85/72,43/561

Given fractions are 49/76,84/72,85/72,43/561

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 49,84,85,43

Greatest Common Factor of Numerators i.e. GCF of 49,84,85,43 is 1 .

LCM of Denominators means LCM of 76,72,72,561 as per the given fractions.

LCM of 76,72,72,561 is 255816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,84,85,43

GCF of Fractions 49/76,84/72,85/72,43/561 is 1/255816

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

Greatest Common Factor of 49,84,85,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,84,85,43 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 43

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

1,43

Greatest Common Factor

We found the factors 49,84,85,43 . The biggest common factor number is the GCF number.
So the greatest common factor 49,84,85,43 is 1.

Lets's calculate LCM of 76,72,72,561

2 76, 72, 72, 561
2 38, 36, 36, 561
2 19, 18, 18, 561
3 19, 9, 9, 561
3 19, 3, 3, 187
19, 1, 1, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 19 x 1 x 1 x 187 = 255816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255816

Therefore, the GCF of Fractions 49/76,84/72,85/72,43/561 is 1/255816

Least Common Multiple of 76,72,72,561 with GCF Formula

Least Common Multiple of 76,72,72,561 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 76,72,72,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,72,72,561) = 1

common factors(in case of two or more numbers have common factors) = 864

GCF(76,72,72,561) x common factors =1 x 864 = 864

LCM(76,72,72,561) = ( 76 × 72 × 72 × 561 ) / 864

LCM(76,72,72,561) = 221025024 / 864

LCM(76,72,72,561) = 255816


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 49/76, 84/72, 85/72, 43/561

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 49/76, 84/72, 85/72, 43/561?

Answer: GCF of Numerators as per given numbers 49/76, 84/72, 85/72, 43/561 is

GCF of Numerators i.e. for 49,84,85,43 is 1

LCM of denominators i.e. for 76,72,72,561 is 255816.

Thus, GCF of Fractions is 1/255816.Finally, GCF of Fractions for 49/76, 84/72, 85/72, 43/561 is 1/255816.