Greatest Common Factor of 628/306, 602/656, 904/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/306, 602/656, 904/228

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 628/306,602/656,904/228

Given fractions are 628/306,602/656,904/228

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 628,602,904

Greatest Common Factor of Numerators i.e. GCF of 628,602,904 is 2 .

LCM of Denominators means LCM of 306,656,228 as per the given fractions.

LCM of 306,656,228 is 1906992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,602,904

GCF of Fractions 628/306,602/656,904/228 is 2/1906992

2 628, 602, 904
314, 301, 452

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

Greatest Common Factor of 628,602,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,602,904 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 628,602,904 . The biggest common factor number is the GCF number.
So the greatest common factor 628,602,904 is 2.

Lets's calculate LCM of 306,656,228

2 306, 656, 228
2 153, 328, 114
3 153, 164, 57
51, 164, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 164 x 19 = 1906992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1906992

Therefore, the GCF of Fractions 628/306,602/656,904/228 is 2/1906992

Least Common Multiple of 306,656,228 with GCF Formula

Least Common Multiple of 306,656,228 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 306,656,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,656,228) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(306,656,228) x common factors =2 x 12 = 24

LCM(306,656,228) = ( 306 × 656 × 228 ) / 24

LCM(306,656,228) = 45767808 / 24

LCM(306,656,228) = 1906992


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 628/306, 602/656, 904/228

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 628/306, 602/656, 904/228?

Answer: GCF of Numerators as per given numbers 628/306, 602/656, 904/228 is

GCF of Numerators i.e. for 628,602,904 is 2

LCM of denominators i.e. for 306,656,228 is 1906992.

Thus, GCF of Fractions is 2/1906992.Finally, GCF of Fractions for 628/306, 602/656, 904/228 is 2/1906992.