Greatest Common Factor of 819/53, 672/7774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 819/53, 672/7774

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 819/53,672/7774

Given fractions are 819/53,672/7774

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 819,672

Greatest Common Factor of Numerators i.e. GCF of 819,672 is 21 .

LCM of Denominators means LCM of 53,7774 as per the given fractions.

LCM of 53,7774 is 412022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,672

GCF of Fractions 819/53,672/7774 is 21/412022

3 819, 672
7 273, 224
39, 32

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 819,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,672 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 819,672 . The biggest common factor number is the GCF number.
So the greatest common factor 819,672 is 21.


Lets's calculate LCM of 53,7774

Given numbers has no common factors except 1. So, there LCM is their product i.e 412022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/412022

Therefore, the GCF of Fractions 819/53,672/7774 is 21/412022

Least Common Multiple of 53,7774 with GCF Formula

Least Common Multiple of 53,7774 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 53,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,7774) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,7774) x common factors =1 x 1 = 1

LCM(53,7774) = ( 53 × 7774 ) / 1

LCM(53,7774) = 412022 / 1

LCM(53,7774) = 412022


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 819/53, 672/7774

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 819/53, 672/7774?

Answer: GCF of Numerators as per given numbers 819/53, 672/7774 is

GCF of Numerators i.e. for 819,672 is 21

LCM of denominators i.e. for 53,7774 is 412022.

Thus, GCF of Fractions is 21/412022.Finally, GCF of Fractions for 819/53, 672/7774 is 21/412022.