Greatest Common Factor of 30/986, 62/980, 389/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/986, 62/980, 389/101

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 30/986,62/980,389/101

Given fractions are 30/986,62/980,389/101

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 30,62,389

Greatest Common Factor of Numerators i.e. GCF of 30,62,389 is 1 .

LCM of Denominators means LCM of 986,980,101 as per the given fractions.

LCM of 986,980,101 is 48797140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,62,389

GCF of Fractions 30/986,62/980,389/101 is 1/48797140

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

Greatest Common Factor of 30,62,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,62,389 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 30,62,389 . The biggest common factor number is the GCF number.
So the greatest common factor 30,62,389 is 1.

Lets's calculate LCM of 986,980,101

2 986, 980, 101
493, 490, 101

∴ So the LCM of the given numbers is 2 x 493 x 490 x 101 = 48797140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48797140

Therefore, the GCF of Fractions 30/986,62/980,389/101 is 1/48797140

Least Common Multiple of 986,980,101 with GCF Formula

Least Common Multiple of 986,980,101 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 986,980,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,980,101) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(986,980,101) x common factors =1 x 2 = 2

LCM(986,980,101) = ( 986 × 980 × 101 ) / 2

LCM(986,980,101) = 97594280 / 2

LCM(986,980,101) = 48797140


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 30/986, 62/980, 389/101

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 30/986, 62/980, 389/101?

Answer: GCF of Numerators as per given numbers 30/986, 62/980, 389/101 is

GCF of Numerators i.e. for 30,62,389 is 1

LCM of denominators i.e. for 986,980,101 is 48797140.

Thus, GCF of Fractions is 1/48797140.Finally, GCF of Fractions for 30/986, 62/980, 389/101 is 1/48797140.