Greatest Common Factor of 30/77, 939/46, 635/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/77, 939/46, 635/213

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 30/77,939/46,635/213

Given fractions are 30/77,939/46,635/213

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 30,939,635

Greatest Common Factor of Numerators i.e. GCF of 30,939,635 is 1 .

LCM of Denominators means LCM of 77,46,213 as per the given fractions.

LCM of 77,46,213 is 754446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,939,635

GCF of Fractions 30/77,939/46,635/213 is 1/754446

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

Greatest Common Factor of 30,939,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,939,635 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 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 30,939,635 . The biggest common factor number is the GCF number.
So the greatest common factor 30,939,635 is 1.

Lets's calculate LCM of 77,46,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 754446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754446

Therefore, the GCF of Fractions 30/77,939/46,635/213 is 1/754446

Least Common Multiple of 77,46,213 with GCF Formula

Least Common Multiple of 77,46,213 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 77,46,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,46,213) = 1

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

GCF(77,46,213) x common factors =1 x 1 = 1

LCM(77,46,213) = ( 77 × 46 × 213 ) / 1

LCM(77,46,213) = 754446 / 1

LCM(77,46,213) = 754446


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 30/77, 939/46, 635/213

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 30/77, 939/46, 635/213?

Answer: GCF of Numerators as per given numbers 30/77, 939/46, 635/213 is

GCF of Numerators i.e. for 30,939,635 is 1

LCM of denominators i.e. for 77,46,213 is 754446.

Thus, GCF of Fractions is 1/754446.Finally, GCF of Fractions for 30/77, 939/46, 635/213 is 1/754446.