Greatest Common Factor of 510/63, 135/86, 382/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/63, 135/86, 382/767

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 510/63,135/86,382/767

Given fractions are 510/63,135/86,382/767

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 510,135,382

Greatest Common Factor of Numerators i.e. GCF of 510,135,382 is 1 .

LCM of Denominators means LCM of 63,86,767 as per the given fractions.

LCM of 63,86,767 is 4155606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,135,382

GCF of Fractions 510/63,135/86,382/767 is 1/4155606

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

Greatest Common Factor of 510,135,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,135,382 By Matching Biggest Common Factor Method

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 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 510,135,382 . The biggest common factor number is the GCF number.
So the greatest common factor 510,135,382 is 1.

Lets's calculate LCM of 63,86,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 4155606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4155606

Therefore, the GCF of Fractions 510/63,135/86,382/767 is 1/4155606

Least Common Multiple of 63,86,767 with GCF Formula

Least Common Multiple of 63,86,767 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 63,86,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,86,767) = 1

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

GCF(63,86,767) x common factors =1 x 1 = 1

LCM(63,86,767) = ( 63 × 86 × 767 ) / 1

LCM(63,86,767) = 4155606 / 1

LCM(63,86,767) = 4155606


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 510/63, 135/86, 382/767

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 510/63, 135/86, 382/767?

Answer: GCF of Numerators as per given numbers 510/63, 135/86, 382/767 is

GCF of Numerators i.e. for 510,135,382 is 1

LCM of denominators i.e. for 63,86,767 is 4155606.

Thus, GCF of Fractions is 1/4155606.Finally, GCF of Fractions for 510/63, 135/86, 382/767 is 1/4155606.