Greatest Common Factor of 10/137, 510/497, 390/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/137, 510/497, 390/481

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 10/137,510/497,390/481

Given fractions are 10/137,510/497,390/481

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 10,510,390

Greatest Common Factor of Numerators i.e. GCF of 10,510,390 is 10 .

LCM of Denominators means LCM of 137,497,481 as per the given fractions.

LCM of 137,497,481 is 32750809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,510,390

GCF of Fractions 10/137,510/497,390/481 is 10/32750809

2 10, 510, 390
5 5, 255, 195
1, 51, 39

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

Greatest Common Factor of 10,510,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,510,390 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 10,510,390 . The biggest common factor number is the GCF number.
So the greatest common factor 10,510,390 is 10.

Lets's calculate LCM of 137,497,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 32750809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/32750809

Therefore, the GCF of Fractions 10/137,510/497,390/481 is 10/32750809

Least Common Multiple of 137,497,481 with GCF Formula

Least Common Multiple of 137,497,481 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 137,497,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,497,481) = 1

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

GCF(137,497,481) x common factors =1 x 1 = 1

LCM(137,497,481) = ( 137 × 497 × 481 ) / 1

LCM(137,497,481) = 32750809 / 1

LCM(137,497,481) = 32750809


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 10/137, 510/497, 390/481

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 10/137, 510/497, 390/481?

Answer: GCF of Numerators as per given numbers 10/137, 510/497, 390/481 is

GCF of Numerators i.e. for 10,510,390 is 10

LCM of denominators i.e. for 137,497,481 is 32750809.

Thus, GCF of Fractions is 10/32750809.Finally, GCF of Fractions for 10/137, 510/497, 390/481 is 10/32750809.