Greatest Common Factor of 490/28, 1636/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/28, 1636/676

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 490/28,1636/676

Given fractions are 490/28,1636/676

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 490,1636

Greatest Common Factor of Numerators i.e. GCF of 490,1636 is 2 .

LCM of Denominators means LCM of 28,676 as per the given fractions.

LCM of 28,676 is 4732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,1636

GCF of Fractions 490/28,1636/676 is 2/4732

2 490, 1636
245, 818

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

Greatest Common Factor of 490,1636 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,1636 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 1636

List of positive integer factors of 1636 that divides 1636 without a remainder.

1,2,4,409,818,1636

Greatest Common Factor

We found the factors 490,1636 . The biggest common factor number is the GCF number.
So the greatest common factor 490,1636 is 2.

Lets's calculate LCM of 28,676

2 28, 676
2 14, 338
7, 169

∴ So the LCM of the given numbers is 2 x 2 x 7 x 169 = 4732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4732

Therefore, the GCF of Fractions 490/28,1636/676 is 2/4732

Least Common Multiple of 28,676 with GCF Formula

Least Common Multiple of 28,676 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 28,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,676) = 4

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

GCF(28,676) x common factors =4 x 1 = 4

LCM(28,676) = ( 28 × 676 ) / 4

LCM(28,676) = 18928 / 4

LCM(28,676) = 4732


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 490/28, 1636/676

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 490/28, 1636/676?

Answer: GCF of Numerators as per given numbers 490/28, 1636/676 is

GCF of Numerators i.e. for 490,1636 is 2

LCM of denominators i.e. for 28,676 is 4732.

Thus, GCF of Fractions is 2/4732.Finally, GCF of Fractions for 490/28, 1636/676 is 2/4732.