Greatest Common Factor of 145/52, 717/16, 510/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/52, 717/16, 510/637

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 145/52,717/16,510/637

Given fractions are 145/52,717/16,510/637

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 145,717,510

Greatest Common Factor of Numerators i.e. GCF of 145,717,510 is 1 .

LCM of Denominators means LCM of 52,16,637 as per the given fractions.

LCM of 52,16,637 is 10192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,717,510

GCF of Fractions 145/52,717/16,510/637 is 1/10192

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

Greatest Common Factor of 145,717,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,717,510 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

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

Greatest Common Factor

We found the factors 145,717,510 . The biggest common factor number is the GCF number.
So the greatest common factor 145,717,510 is 1.

Lets's calculate LCM of 52,16,637

2 52, 16, 637
2 26, 8, 637
13 13, 4, 637
1, 4, 49

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 4 x 49 = 10192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10192

Therefore, the GCF of Fractions 145/52,717/16,510/637 is 1/10192

Least Common Multiple of 52,16,637 with GCF Formula

Least Common Multiple of 52,16,637 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 52,16,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,16,637) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,16,637) x common factors =1 x 52 = 52

LCM(52,16,637) = ( 52 × 16 × 637 ) / 52

LCM(52,16,637) = 529984 / 52

LCM(52,16,637) = 10192


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 145/52, 717/16, 510/637

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 145/52, 717/16, 510/637?

Answer: GCF of Numerators as per given numbers 145/52, 717/16, 510/637 is

GCF of Numerators i.e. for 145,717,510 is 1

LCM of denominators i.e. for 52,16,637 is 10192.

Thus, GCF of Fractions is 1/10192.Finally, GCF of Fractions for 145/52, 717/16, 510/637 is 1/10192.