Greatest Common Factor of 3/20, 49/25, 10/494, 626/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/20, 49/25, 10/494, 626/466

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 3/20,49/25,10/494,626/466

Given fractions are 3/20,49/25,10/494,626/466

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 3,49,10,626

Greatest Common Factor of Numerators i.e. GCF of 3,49,10,626 is 1 .

LCM of Denominators means LCM of 20,25,494,466 as per the given fractions.

LCM of 20,25,494,466 is 5755100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,49,10,626

GCF of Fractions 3/20,49/25,10/494,626/466 is 1/5755100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,49,10,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,49,10,626 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 3,49,10,626 . The biggest common factor number is the GCF number.
So the greatest common factor 3,49,10,626 is 1.

Lets's calculate LCM of 20,25,494,466

2 20, 25, 494, 466
5 10, 25, 247, 233
2, 5, 247, 233

∴ So the LCM of the given numbers is 2 x 5 x 2 x 5 x 247 x 233 = 5755100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5755100

Therefore, the GCF of Fractions 3/20,49/25,10/494,626/466 is 1/5755100

Least Common Multiple of 20,25,494,466 with GCF Formula

Least Common Multiple of 20,25,494,466 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 20,25,494,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,25,494,466) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,25,494,466) x common factors =1 x 20 = 20

LCM(20,25,494,466) = ( 20 × 25 × 494 × 466 ) / 20

LCM(20,25,494,466) = 115102000 / 20

LCM(20,25,494,466) = 5755100


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 3/20, 49/25, 10/494, 626/466

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 3/20, 49/25, 10/494, 626/466?

Answer: GCF of Numerators as per given numbers 3/20, 49/25, 10/494, 626/466 is

GCF of Numerators i.e. for 3,49,10,626 is 1

LCM of denominators i.e. for 20,25,494,466 is 5755100.

Thus, GCF of Fractions is 1/5755100.Finally, GCF of Fractions for 3/20, 49/25, 10/494, 626/466 is 1/5755100.