Greatest Common Factor of 140/18, 410/4904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/18, 410/4904

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 140/18,410/4904

Given fractions are 140/18,410/4904

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 140,410

Greatest Common Factor of Numerators i.e. GCF of 140,410 is 10 .

LCM of Denominators means LCM of 18,4904 as per the given fractions.

LCM of 18,4904 is 44136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,410

GCF of Fractions 140/18,410/4904 is 10/44136

2 140, 410
5 70, 205
14, 41

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 140,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,410 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 140,410 . The biggest common factor number is the GCF number.
So the greatest common factor 140,410 is 10.

Lets's calculate LCM of 18,4904

2 18, 4904
9, 2452

∴ So the LCM of the given numbers is 2 x 9 x 2452 = 44136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/44136

Therefore, the GCF of Fractions 140/18,410/4904 is 10/44136

Least Common Multiple of 18,4904 with GCF Formula

Least Common Multiple of 18,4904 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 18,4904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,4904) = 2

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

GCF(18,4904) x common factors =2 x 1 = 2

LCM(18,4904) = ( 18 × 4904 ) / 2

LCM(18,4904) = 88272 / 2

LCM(18,4904) = 44136


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 140/18, 410/4904

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 140/18, 410/4904?

Answer: GCF of Numerators as per given numbers 140/18, 410/4904 is

GCF of Numerators i.e. for 140,410 is 10

LCM of denominators i.e. for 18,4904 is 44136.

Thus, GCF of Fractions is 10/44136.Finally, GCF of Fractions for 140/18, 410/4904 is 10/44136.