Greatest Common Factor of 30/31, 650/69, 738/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/31, 650/69, 738/467

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 30/31,650/69,738/467

Given fractions are 30/31,650/69,738/467

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 30,650,738

Greatest Common Factor of Numerators i.e. GCF of 30,650,738 is 2 .

LCM of Denominators means LCM of 31,69,467 as per the given fractions.

LCM of 31,69,467 is 998913 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,650,738

GCF of Fractions 30/31,650/69,738/467 is 2/998913

2 30, 650, 738
15, 325, 369

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

Greatest Common Factor of 30,650,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,650,738 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 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 30,650,738 . The biggest common factor number is the GCF number.
So the greatest common factor 30,650,738 is 2.

Lets's calculate LCM of 31,69,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 998913

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/998913

Therefore, the GCF of Fractions 30/31,650/69,738/467 is 2/998913

Least Common Multiple of 31,69,467 with GCF Formula

Least Common Multiple of 31,69,467 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 31,69,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,69,467) = 1

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

GCF(31,69,467) x common factors =1 x 1 = 1

LCM(31,69,467) = ( 31 × 69 × 467 ) / 1

LCM(31,69,467) = 998913 / 1

LCM(31,69,467) = 998913


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 30/31, 650/69, 738/467

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 30/31, 650/69, 738/467?

Answer: GCF of Numerators as per given numbers 30/31, 650/69, 738/467 is

GCF of Numerators i.e. for 30,650,738 is 2

LCM of denominators i.e. for 31,69,467 is 998913.

Thus, GCF of Fractions is 2/998913.Finally, GCF of Fractions for 30/31, 650/69, 738/467 is 2/998913.