Greatest Common Factor of 949/330, 167/984, 928/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/330, 167/984, 928/740

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 949/330,167/984,928/740

Given fractions are 949/330,167/984,928/740

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 949,167,928

Greatest Common Factor of Numerators i.e. GCF of 949,167,928 is 1 .

LCM of Denominators means LCM of 330,984,740 as per the given fractions.

LCM of 330,984,740 is 2002440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,167,928

GCF of Fractions 949/330,167/984,928/740 is 1/2002440

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

Greatest Common Factor of 949,167,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,167,928 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 949,167,928 . The biggest common factor number is the GCF number.
So the greatest common factor 949,167,928 is 1.

Lets's calculate LCM of 330,984,740

2 330, 984, 740
2 165, 492, 370
3 165, 246, 185
5 55, 82, 185
11, 82, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 82 x 37 = 2002440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2002440

Therefore, the GCF of Fractions 949/330,167/984,928/740 is 1/2002440

Least Common Multiple of 330,984,740 with GCF Formula

Least Common Multiple of 330,984,740 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 330,984,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,984,740) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(330,984,740) x common factors =2 x 60 = 120

LCM(330,984,740) = ( 330 × 984 × 740 ) / 120

LCM(330,984,740) = 240292800 / 120

LCM(330,984,740) = 2002440


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 949/330, 167/984, 928/740

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 949/330, 167/984, 928/740?

Answer: GCF of Numerators as per given numbers 949/330, 167/984, 928/740 is

GCF of Numerators i.e. for 949,167,928 is 1

LCM of denominators i.e. for 330,984,740 is 2002440.

Thus, GCF of Fractions is 1/2002440.Finally, GCF of Fractions for 949/330, 167/984, 928/740 is 1/2002440.