Greatest Common Factor of 844/68, 504/67, 364/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 844/68, 504/67, 364/80

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 844/68,504/67,364/80

Given fractions are 844/68,504/67,364/80

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 844,504,364

Greatest Common Factor of Numerators i.e. GCF of 844,504,364 is 4 .

LCM of Denominators means LCM of 68,67,80 as per the given fractions.

LCM of 68,67,80 is 91120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 844,504,364

GCF of Fractions 844/68,504/67,364/80 is 4/91120

2 844, 504, 364
2 422, 252, 182
211, 126, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 844,504,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,504,364 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 844,504,364 . The biggest common factor number is the GCF number.
So the greatest common factor 844,504,364 is 4.

Lets's calculate LCM of 68,67,80

2 68, 67, 80
2 34, 67, 40
17, 67, 20

∴ So the LCM of the given numbers is 2 x 2 x 17 x 67 x 20 = 91120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/91120

Therefore, the GCF of Fractions 844/68,504/67,364/80 is 4/91120

Least Common Multiple of 68,67,80 with GCF Formula

Least Common Multiple of 68,67,80 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 68,67,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,67,80) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,67,80) x common factors =1 x 4 = 4

LCM(68,67,80) = ( 68 × 67 × 80 ) / 4

LCM(68,67,80) = 364480 / 4

LCM(68,67,80) = 91120


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 844/68, 504/67, 364/80

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 844/68, 504/67, 364/80?

Answer: GCF of Numerators as per given numbers 844/68, 504/67, 364/80 is

GCF of Numerators i.e. for 844,504,364 is 4

LCM of denominators i.e. for 68,67,80 is 91120.

Thus, GCF of Fractions is 4/91120.Finally, GCF of Fractions for 844/68, 504/67, 364/80 is 4/91120.