Greatest Common Factor of 670/31, 498/54, 968/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/31, 498/54, 968/962

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 670/31,498/54,968/962

Given fractions are 670/31,498/54,968/962

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 670,498,968

Greatest Common Factor of Numerators i.e. GCF of 670,498,968 is 2 .

LCM of Denominators means LCM of 31,54,962 as per the given fractions.

LCM of 31,54,962 is 805194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,498,968

GCF of Fractions 670/31,498/54,968/962 is 2/805194

2 670, 498, 968
335, 249, 484

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

Greatest Common Factor of 670,498,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,498,968 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 670,498,968 . The biggest common factor number is the GCF number.
So the greatest common factor 670,498,968 is 2.

Lets's calculate LCM of 31,54,962

2 31, 54, 962
31, 27, 481

∴ So the LCM of the given numbers is 2 x 31 x 27 x 481 = 805194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/805194

Therefore, the GCF of Fractions 670/31,498/54,968/962 is 2/805194

Least Common Multiple of 31,54,962 with GCF Formula

Least Common Multiple of 31,54,962 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 31,54,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,54,962) = 1

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

GCF(31,54,962) x common factors =1 x 2 = 2

LCM(31,54,962) = ( 31 × 54 × 962 ) / 2

LCM(31,54,962) = 1610388 / 2

LCM(31,54,962) = 805194


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 670/31, 498/54, 968/962

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 670/31, 498/54, 968/962?

Answer: GCF of Numerators as per given numbers 670/31, 498/54, 968/962 is

GCF of Numerators i.e. for 670,498,968 is 2

LCM of denominators i.e. for 31,54,962 is 805194.

Thus, GCF of Fractions is 2/805194.Finally, GCF of Fractions for 670/31, 498/54, 968/962 is 2/805194.