Greatest Common Factor of 415/767, 302/128, 987/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/767, 302/128, 987/384

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 415/767,302/128,987/384

Given fractions are 415/767,302/128,987/384

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 415,302,987

Greatest Common Factor of Numerators i.e. GCF of 415,302,987 is 1 .

LCM of Denominators means LCM of 767,128,384 as per the given fractions.

LCM of 767,128,384 is 294528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,302,987

GCF of Fractions 415/767,302/128,987/384 is 1/294528

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

Greatest Common Factor of 415,302,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,302,987 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 415,302,987 . The biggest common factor number is the GCF number.
So the greatest common factor 415,302,987 is 1.

Lets's calculate LCM of 767,128,384

2 767, 128, 384
2 767, 64, 192
2 767, 32, 96
2 767, 16, 48
2 767, 8, 24
2 767, 4, 12
2 767, 2, 6
767, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 767 x 1 x 3 = 294528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294528

Therefore, the GCF of Fractions 415/767,302/128,987/384 is 1/294528

Least Common Multiple of 767,128,384 with GCF Formula

Least Common Multiple of 767,128,384 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 767,128,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,128,384) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(767,128,384) x common factors =1 x 128 = 128

LCM(767,128,384) = ( 767 × 128 × 384 ) / 128

LCM(767,128,384) = 37699584 / 128

LCM(767,128,384) = 294528


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 415/767, 302/128, 987/384

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 415/767, 302/128, 987/384?

Answer: GCF of Numerators as per given numbers 415/767, 302/128, 987/384 is

GCF of Numerators i.e. for 415,302,987 is 1

LCM of denominators i.e. for 767,128,384 is 294528.

Thus, GCF of Fractions is 1/294528.Finally, GCF of Fractions for 415/767, 302/128, 987/384 is 1/294528.