Greatest Common Factor of 80/29, 520/90, 784/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/29, 520/90, 784/754

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 80/29,520/90,784/754

Given fractions are 80/29,520/90,784/754

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 80,520,784

Greatest Common Factor of Numerators i.e. GCF of 80,520,784 is 8 .

LCM of Denominators means LCM of 29,90,754 as per the given fractions.

LCM of 29,90,754 is 33930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,520,784

GCF of Fractions 80/29,520/90,784/754 is 8/33930

2 80, 520, 784
2 40, 260, 392
2 20, 130, 196
10, 65, 98

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 80,520,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,520,784 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 80,520,784 . The biggest common factor number is the GCF number.
So the greatest common factor 80,520,784 is 8.

Lets's calculate LCM of 29,90,754

2 29, 90, 754
29 29, 45, 377
1, 45, 13

∴ So the LCM of the given numbers is 2 x 29 x 1 x 45 x 13 = 33930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/33930

Therefore, the GCF of Fractions 80/29,520/90,784/754 is 8/33930

Least Common Multiple of 29,90,754 with GCF Formula

Least Common Multiple of 29,90,754 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 29,90,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,90,754) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(29,90,754) x common factors =1 x 58 = 58

LCM(29,90,754) = ( 29 × 90 × 754 ) / 58

LCM(29,90,754) = 1967940 / 58

LCM(29,90,754) = 33930


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 80/29, 520/90, 784/754

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 80/29, 520/90, 784/754?

Answer: GCF of Numerators as per given numbers 80/29, 520/90, 784/754 is

GCF of Numerators i.e. for 80,520,784 is 8

LCM of denominators i.e. for 29,90,754 is 33930.

Thus, GCF of Fractions is 8/33930.Finally, GCF of Fractions for 80/29, 520/90, 784/754 is 8/33930.