Greatest Common Factor of 612/30, 612/4714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/30, 612/4714

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 612/30,612/4714

Given fractions are 612/30,612/4714

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 612,612

Greatest Common Factor of Numerators i.e. GCF of 612,612 is 612 .

LCM of Denominators means LCM of 30,4714 as per the given fractions.

LCM of 30,4714 is 70710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,612

GCF of Fractions 612/30,612/4714 is 612/70710

2 612, 612
2 306, 306
3 153, 153
3 51, 51
17 17, 17
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 17 = 612

Greatest Common Factor of 612,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,612 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 612,612 . The biggest common factor number is the GCF number.
So the greatest common factor 612,612 is 612.

Lets's calculate LCM of 30,4714

2 30, 4714
15, 2357

∴ So the LCM of the given numbers is 2 x 15 x 2357 = 70710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 612/70710

Therefore, the GCF of Fractions 612/30,612/4714 is 612/70710

Least Common Multiple of 30,4714 with GCF Formula

Least Common Multiple of 30,4714 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 30,4714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,4714) = 2

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

GCF(30,4714) x common factors =2 x 1 = 2

LCM(30,4714) = ( 30 × 4714 ) / 2

LCM(30,4714) = 141420 / 2

LCM(30,4714) = 70710


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 612/30, 612/4714

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 612/30, 612/4714?

Answer: GCF of Numerators as per given numbers 612/30, 612/4714 is

GCF of Numerators i.e. for 612,612 is 612

LCM of denominators i.e. for 30,4714 is 70710.

Thus, GCF of Fractions is 612/70710.Finally, GCF of Fractions for 612/30, 612/4714 is 612/70710.