Greatest Common Factor of 8218/385, 8057/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8218/385, 8057/620

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 8218/385,8057/620

Given fractions are 8218/385,8057/620

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 8218,8057

Greatest Common Factor of Numerators i.e. GCF of 8218,8057 is 7 .

LCM of Denominators means LCM of 385,620 as per the given fractions.

LCM of 385,620 is 47740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8218,8057

GCF of Fractions 8218/385,8057/620 is 7/47740

7 8218, 8057
1174, 1151

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8218,8057 By Matching Biggest Common Factor Method

Greatest Common Factor of 8218,8057 By Matching Biggest Common Factor Method

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

Factors of 8057

List of positive integer factors of 8057 that divides 8057 without a remainder.

1,7,1151,8057

Greatest Common Factor

We found the factors 8218,8057 . The biggest common factor number is the GCF number.
So the greatest common factor 8218,8057 is 7.

Lets's calculate LCM of 385,620

5 385, 620
77, 124

∴ So the LCM of the given numbers is 5 x 77 x 124 = 47740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/47740

Therefore, the GCF of Fractions 8218/385,8057/620 is 7/47740

Least Common Multiple of 385,620 with GCF Formula

Least Common Multiple of 385,620 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 385,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,620) = 5

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

GCF(385,620) x common factors =5 x 1 = 5

LCM(385,620) = ( 385 × 620 ) / 5

LCM(385,620) = 238700 / 5

LCM(385,620) = 47740


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 8218/385, 8057/620

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 8218/385, 8057/620?

Answer: GCF of Numerators as per given numbers 8218/385, 8057/620 is

GCF of Numerators i.e. for 8218,8057 is 7

LCM of denominators i.e. for 385,620 is 47740.

Thus, GCF of Fractions is 7/47740.Finally, GCF of Fractions for 8218/385, 8057/620 is 7/47740.