Greatest Common Factor of 852/497, 6174/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/497, 6174/213

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 852/497,6174/213

Given fractions are 852/497,6174/213

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 852,6174

Greatest Common Factor of Numerators i.e. GCF of 852,6174 is 6 .

LCM of Denominators means LCM of 497,213 as per the given fractions.

LCM of 497,213 is 1491 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,6174

GCF of Fractions 852/497,6174/213 is 6/1491

2 852, 6174
3 426, 3087
142, 1029

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 852,6174 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,6174 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 6174

List of positive integer factors of 6174 that divides 6174 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,343,441,686,882,1029,2058,3087,6174

Greatest Common Factor

We found the factors 852,6174 . The biggest common factor number is the GCF number.
So the greatest common factor 852,6174 is 6.

Lets's calculate LCM of 497,213

71 497, 213
7, 3

∴ So the LCM of the given numbers is 71 x 7 x 3 = 1491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1491

Therefore, the GCF of Fractions 852/497,6174/213 is 6/1491

Least Common Multiple of 497,213 with GCF Formula

Least Common Multiple of 497,213 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 497,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,213) = 71

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

GCF(497,213) x common factors =71 x 1 = 71

LCM(497,213) = ( 497 × 213 ) / 71

LCM(497,213) = 105861 / 71

LCM(497,213) = 1491


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 852/497, 6174/213

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 852/497, 6174/213?

Answer: GCF of Numerators as per given numbers 852/497, 6174/213 is

GCF of Numerators i.e. for 852,6174 is 6

LCM of denominators i.e. for 497,213 is 1491.

Thus, GCF of Fractions is 6/1491.Finally, GCF of Fractions for 852/497, 6174/213 is 6/1491.