Greatest Common Factor of 30/61, 70/63, 990/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/61, 70/63, 990/476

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 30/61,70/63,990/476

Given fractions are 30/61,70/63,990/476

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 30,70,990

Greatest Common Factor of Numerators i.e. GCF of 30,70,990 is 10 .

LCM of Denominators means LCM of 61,63,476 as per the given fractions.

LCM of 61,63,476 is 261324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,70,990

GCF of Fractions 30/61,70/63,990/476 is 10/261324

2 30, 70, 990
5 15, 35, 495
3, 7, 99

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 30,70,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,70,990 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 30,70,990 . The biggest common factor number is the GCF number.
So the greatest common factor 30,70,990 is 10.

Lets's calculate LCM of 61,63,476

7 61, 63, 476
61, 9, 68

∴ So the LCM of the given numbers is 7 x 61 x 9 x 68 = 261324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/261324

Therefore, the GCF of Fractions 30/61,70/63,990/476 is 10/261324

Least Common Multiple of 61,63,476 with GCF Formula

Least Common Multiple of 61,63,476 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 61,63,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,63,476) = 1

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

GCF(61,63,476) x common factors =1 x 7 = 7

LCM(61,63,476) = ( 61 × 63 × 476 ) / 7

LCM(61,63,476) = 1829268 / 7

LCM(61,63,476) = 261324


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 30/61, 70/63, 990/476

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 30/61, 70/63, 990/476?

Answer: GCF of Numerators as per given numbers 30/61, 70/63, 990/476 is

GCF of Numerators i.e. for 30,70,990 is 10

LCM of denominators i.e. for 61,63,476 is 261324.

Thus, GCF of Fractions is 10/261324.Finally, GCF of Fractions for 30/61, 70/63, 990/476 is 10/261324.