Greatest Common Factor of 6364/890, 6544/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6364/890, 6544/492

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 6364/890,6544/492

Given fractions are 6364/890,6544/492

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 6364,6544

Greatest Common Factor of Numerators i.e. GCF of 6364,6544 is 4 .

LCM of Denominators means LCM of 890,492 as per the given fractions.

LCM of 890,492 is 218940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6364,6544

GCF of Fractions 6364/890,6544/492 is 4/218940

2 6364, 6544
2 3182, 3272
1591, 1636

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

Greatest Common Factor of 6364,6544 By Matching Biggest Common Factor Method

Greatest Common Factor of 6364,6544 By Matching Biggest Common Factor Method

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Factors of 6544

List of positive integer factors of 6544 that divides 6544 without a remainder.

1,2,4,8,16,409,818,1636,3272,6544

Greatest Common Factor

We found the factors 6364,6544 . The biggest common factor number is the GCF number.
So the greatest common factor 6364,6544 is 4.

Lets's calculate LCM of 890,492

2 890, 492
445, 246

∴ So the LCM of the given numbers is 2 x 445 x 246 = 218940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/218940

Therefore, the GCF of Fractions 6364/890,6544/492 is 4/218940

Least Common Multiple of 890,492 with GCF Formula

Least Common Multiple of 890,492 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 890,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,492) = 2

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

GCF(890,492) x common factors =2 x 1 = 2

LCM(890,492) = ( 890 × 492 ) / 2

LCM(890,492) = 437880 / 2

LCM(890,492) = 218940


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 6364/890, 6544/492

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 6364/890, 6544/492?

Answer: GCF of Numerators as per given numbers 6364/890, 6544/492 is

GCF of Numerators i.e. for 6364,6544 is 4

LCM of denominators i.e. for 890,492 is 218940.

Thus, GCF of Fractions is 4/218940.Finally, GCF of Fractions for 6364/890, 6544/492 is 4/218940.