Greatest Common Factor of 6228/34, 8476/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6228/34, 8476/109

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 6228/34,8476/109

Given fractions are 6228/34,8476/109

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 6228,8476

Greatest Common Factor of Numerators i.e. GCF of 6228,8476 is 4 .

LCM of Denominators means LCM of 34,109 as per the given fractions.

LCM of 34,109 is 3706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6228,8476

GCF of Fractions 6228/34,8476/109 is 4/3706

2 6228, 8476
2 3114, 4238
1557, 2119

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

Greatest Common Factor of 6228,8476 By Matching Biggest Common Factor Method

Greatest Common Factor of 6228,8476 By Matching Biggest Common Factor Method

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228

Factors of 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1,2,4,13,26,52,163,326,652,2119,4238,8476

Greatest Common Factor

We found the factors 6228,8476 . The biggest common factor number is the GCF number.
So the greatest common factor 6228,8476 is 4.

Lets's calculate LCM of 34,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 3706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3706

Therefore, the GCF of Fractions 6228/34,8476/109 is 4/3706

Least Common Multiple of 34,109 with GCF Formula

Least Common Multiple of 34,109 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 34,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,109) = 1

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

GCF(34,109) x common factors =1 x 1 = 1

LCM(34,109) = ( 34 × 109 ) / 1

LCM(34,109) = 3706 / 1

LCM(34,109) = 3706


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 6228/34, 8476/109

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 6228/34, 8476/109?

Answer: GCF of Numerators as per given numbers 6228/34, 8476/109 is

GCF of Numerators i.e. for 6228,8476 is 4

LCM of denominators i.e. for 34,109 is 3706.

Thus, GCF of Fractions is 4/3706.Finally, GCF of Fractions for 6228/34, 8476/109 is 4/3706.