Greatest Common Factor of 796/569, 6228/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/569, 6228/304

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 796/569,6228/304

Given fractions are 796/569,6228/304

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 796,6228

Greatest Common Factor of Numerators i.e. GCF of 796,6228 is 4 .

LCM of Denominators means LCM of 569,304 as per the given fractions.

LCM of 569,304 is 172976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,6228

GCF of Fractions 796/569,6228/304 is 4/172976

2 796, 6228
2 398, 3114
199, 1557

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

Greatest Common Factor of 796,6228 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,6228 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

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

Greatest Common Factor

We found the factors 796,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 796,6228 is 4.

Lets's calculate LCM of 569,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 172976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/172976

Therefore, the GCF of Fractions 796/569,6228/304 is 4/172976

Least Common Multiple of 569,304 with GCF Formula

Least Common Multiple of 569,304 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 569,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,304) = 1

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

GCF(569,304) x common factors =1 x 1 = 1

LCM(569,304) = ( 569 × 304 ) / 1

LCM(569,304) = 172976 / 1

LCM(569,304) = 172976


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 796/569, 6228/304

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 796/569, 6228/304?

Answer: GCF of Numerators as per given numbers 796/569, 6228/304 is

GCF of Numerators i.e. for 796,6228 is 4

LCM of denominators i.e. for 569,304 is 172976.

Thus, GCF of Fractions is 4/172976.Finally, GCF of Fractions for 796/569, 6228/304 is 4/172976.