Greatest Common Factor of 8388/251, 6820/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8388/251, 6820/211

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 8388/251,6820/211

Given fractions are 8388/251,6820/211

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 8388,6820

Greatest Common Factor of Numerators i.e. GCF of 8388,6820 is 4 .

LCM of Denominators means LCM of 251,211 as per the given fractions.

LCM of 251,211 is 52961 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8388,6820

GCF of Fractions 8388/251,6820/211 is 4/52961

2 8388, 6820
2 4194, 3410
2097, 1705

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

Greatest Common Factor of 8388,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 8388,6820 By Matching Biggest Common Factor Method

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 8388,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 8388,6820 is 4.

Lets's calculate LCM of 251,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 52961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52961

Therefore, the GCF of Fractions 8388/251,6820/211 is 4/52961

Least Common Multiple of 251,211 with GCF Formula

Least Common Multiple of 251,211 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 251,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,211) = 1

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

GCF(251,211) x common factors =1 x 1 = 1

LCM(251,211) = ( 251 × 211 ) / 1

LCM(251,211) = 52961 / 1

LCM(251,211) = 52961


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 8388/251, 6820/211

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 8388/251, 6820/211?

Answer: GCF of Numerators as per given numbers 8388/251, 6820/211 is

GCF of Numerators i.e. for 8388,6820 is 4

LCM of denominators i.e. for 251,211 is 52961.

Thus, GCF of Fractions is 4/52961.Finally, GCF of Fractions for 8388/251, 6820/211 is 4/52961.