Greatest Common Factor of 8208/621, 5756/8218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8208/621, 5756/8218

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 8208/621,5756/8218

Given fractions are 8208/621,5756/8218

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 8208,5756

Greatest Common Factor of Numerators i.e. GCF of 8208,5756 is 4 .

LCM of Denominators means LCM of 621,8218 as per the given fractions.

LCM of 621,8218 is 5103378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8208,5756

GCF of Fractions 8208/621,5756/8218 is 4/5103378

2 8208, 5756
2 4104, 2878
2052, 1439

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

Greatest Common Factor of 8208,5756 By Matching Biggest Common Factor Method

Greatest Common Factor of 8208,5756 By Matching Biggest Common Factor Method

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Factors of 5756

List of positive integer factors of 5756 that divides 5756 without a remainder.

1,2,4,1439,2878,5756

Greatest Common Factor

We found the factors 8208,5756 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,5756 is 4.

Lets's calculate LCM of 621,8218

Given numbers has no common factors except 1. So, there LCM is their product i.e 5103378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5103378

Therefore, the GCF of Fractions 8208/621,5756/8218 is 4/5103378

Least Common Multiple of 621,8218 with GCF Formula

Least Common Multiple of 621,8218 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 621,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,8218) = 1

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

GCF(621,8218) x common factors =1 x 1 = 1

LCM(621,8218) = ( 621 × 8218 ) / 1

LCM(621,8218) = 5103378 / 1

LCM(621,8218) = 5103378


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 8208/621, 5756/8218

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 8208/621, 5756/8218?

Answer: GCF of Numerators as per given numbers 8208/621, 5756/8218 is

GCF of Numerators i.e. for 8208,5756 is 4

LCM of denominators i.e. for 621,8218 is 5103378.

Thus, GCF of Fractions is 4/5103378.Finally, GCF of Fractions for 8208/621, 5756/8218 is 4/5103378.