Greatest Common Factor of 428/460, 100/206, 802/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/460, 100/206, 802/603

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 428/460,100/206,802/603

Given fractions are 428/460,100/206,802/603

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 428,100,802

Greatest Common Factor of Numerators i.e. GCF of 428,100,802 is 2 .

LCM of Denominators means LCM of 460,206,603 as per the given fractions.

LCM of 460,206,603 is 28570140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,100,802

GCF of Fractions 428/460,100/206,802/603 is 2/28570140

2 428, 100, 802
214, 50, 401

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

Greatest Common Factor of 428,100,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,100,802 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 428,100,802 . The biggest common factor number is the GCF number.
So the greatest common factor 428,100,802 is 2.

Lets's calculate LCM of 460,206,603

2 460, 206, 603
230, 103, 603

∴ So the LCM of the given numbers is 2 x 230 x 103 x 603 = 28570140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28570140

Therefore, the GCF of Fractions 428/460,100/206,802/603 is 2/28570140

Least Common Multiple of 460,206,603 with GCF Formula

Least Common Multiple of 460,206,603 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 460,206,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,206,603) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(460,206,603) x common factors =1 x 2 = 2

LCM(460,206,603) = ( 460 × 206 × 603 ) / 2

LCM(460,206,603) = 57140280 / 2

LCM(460,206,603) = 28570140


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 428/460, 100/206, 802/603

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 428/460, 100/206, 802/603?

Answer: GCF of Numerators as per given numbers 428/460, 100/206, 802/603 is

GCF of Numerators i.e. for 428,100,802 is 2

LCM of denominators i.e. for 460,206,603 is 28570140.

Thus, GCF of Fractions is 2/28570140.Finally, GCF of Fractions for 428/460, 100/206, 802/603 is 2/28570140.