Greatest Common Factor of 297/83, 968/84, 418/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/83, 968/84, 418/648

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 297/83,968/84,418/648

Given fractions are 297/83,968/84,418/648

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 297,968,418

Greatest Common Factor of Numerators i.e. GCF of 297,968,418 is 11 .

LCM of Denominators means LCM of 83,84,648 as per the given fractions.

LCM of 83,84,648 is 376488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,968,418

GCF of Fractions 297/83,968/84,418/648 is 11/376488

11 297, 968, 418
27, 88, 38

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 297,968,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,968,418 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

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

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 297,968,418 . The biggest common factor number is the GCF number.
So the greatest common factor 297,968,418 is 11.

Lets's calculate LCM of 83,84,648

2 83, 84, 648
2 83, 42, 324
3 83, 21, 162
83, 7, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 7 x 54 = 376488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/376488

Therefore, the GCF of Fractions 297/83,968/84,418/648 is 11/376488

Least Common Multiple of 83,84,648 with GCF Formula

Least Common Multiple of 83,84,648 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 83,84,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,84,648) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(83,84,648) x common factors =1 x 12 = 12

LCM(83,84,648) = ( 83 × 84 × 648 ) / 12

LCM(83,84,648) = 4517856 / 12

LCM(83,84,648) = 376488


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 297/83, 968/84, 418/648

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 297/83, 968/84, 418/648?

Answer: GCF of Numerators as per given numbers 297/83, 968/84, 418/648 is

GCF of Numerators i.e. for 297,968,418 is 11

LCM of denominators i.e. for 83,84,648 is 376488.

Thus, GCF of Fractions is 11/376488.Finally, GCF of Fractions for 297/83, 968/84, 418/648 is 11/376488.