Greatest Common Factor of 596/49, 484/27, 466/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/49, 484/27, 466/770

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 596/49,484/27,466/770

Given fractions are 596/49,484/27,466/770

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 596,484,466

Greatest Common Factor of Numerators i.e. GCF of 596,484,466 is 2 .

LCM of Denominators means LCM of 49,27,770 as per the given fractions.

LCM of 49,27,770 is 145530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,484,466

GCF of Fractions 596/49,484/27,466/770 is 2/145530

2 596, 484, 466
298, 242, 233

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

Greatest Common Factor of 596,484,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,484,466 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 596,484,466 . The biggest common factor number is the GCF number.
So the greatest common factor 596,484,466 is 2.

Lets's calculate LCM of 49,27,770

7 49, 27, 770
7, 27, 110

∴ So the LCM of the given numbers is 7 x 7 x 27 x 110 = 145530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/145530

Therefore, the GCF of Fractions 596/49,484/27,466/770 is 2/145530

Least Common Multiple of 49,27,770 with GCF Formula

Least Common Multiple of 49,27,770 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 49,27,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,27,770) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,27,770) x common factors =1 x 7 = 7

LCM(49,27,770) = ( 49 × 27 × 770 ) / 7

LCM(49,27,770) = 1018710 / 7

LCM(49,27,770) = 145530


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 596/49, 484/27, 466/770

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 596/49, 484/27, 466/770?

Answer: GCF of Numerators as per given numbers 596/49, 484/27, 466/770 is

GCF of Numerators i.e. for 596,484,466 is 2

LCM of denominators i.e. for 49,27,770 is 145530.

Thus, GCF of Fractions is 2/145530.Finally, GCF of Fractions for 596/49, 484/27, 466/770 is 2/145530.