Greatest Common Factor of 30/546, 772/587, 926/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/546, 772/587, 926/357

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 30/546,772/587,926/357

Given fractions are 30/546,772/587,926/357

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 30,772,926

Greatest Common Factor of Numerators i.e. GCF of 30,772,926 is 2 .

LCM of Denominators means LCM of 546,587,357 as per the given fractions.

LCM of 546,587,357 is 5448534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,772,926

GCF of Fractions 30/546,772/587,926/357 is 2/5448534

2 30, 772, 926
15, 386, 463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 30,772,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,772,926 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 30,772,926 . The biggest common factor number is the GCF number.
So the greatest common factor 30,772,926 is 2.

Lets's calculate LCM of 546,587,357

3 546, 587, 357
7 182, 587, 119
26, 587, 17

∴ So the LCM of the given numbers is 3 x 7 x 26 x 587 x 17 = 5448534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5448534

Therefore, the GCF of Fractions 30/546,772/587,926/357 is 2/5448534

Least Common Multiple of 546,587,357 with GCF Formula

Least Common Multiple of 546,587,357 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 546,587,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,587,357) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(546,587,357) x common factors =1 x 21 = 21

LCM(546,587,357) = ( 546 × 587 × 357 ) / 21

LCM(546,587,357) = 114419214 / 21

LCM(546,587,357) = 5448534


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 30/546, 772/587, 926/357

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 30/546, 772/587, 926/357?

Answer: GCF of Numerators as per given numbers 30/546, 772/587, 926/357 is

GCF of Numerators i.e. for 30,772,926 is 2

LCM of denominators i.e. for 546,587,357 is 5448534.

Thus, GCF of Fractions is 2/5448534.Finally, GCF of Fractions for 30/546, 772/587, 926/357 is 2/5448534.