Greatest Common Factor of 66/698, 537/936, 218/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/698, 537/936, 218/234

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 66/698,537/936,218/234

Given fractions are 66/698,537/936,218/234

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 66,537,218

Greatest Common Factor of Numerators i.e. GCF of 66,537,218 is 1 .

LCM of Denominators means LCM of 698,936,234 as per the given fractions.

LCM of 698,936,234 is 326664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,537,218

GCF of Fractions 66/698,537/936,218/234 is 1/326664

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

Greatest Common Factor of 66,537,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,537,218 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 66,537,218 . The biggest common factor number is the GCF number.
So the greatest common factor 66,537,218 is 1.

Lets's calculate LCM of 698,936,234

2 698, 936, 234
3 349, 468, 117
3 349, 156, 39
13 349, 52, 13
349, 4, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 349 x 4 x 1 = 326664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326664

Therefore, the GCF of Fractions 66/698,537/936,218/234 is 1/326664

Least Common Multiple of 698,936,234 with GCF Formula

Least Common Multiple of 698,936,234 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 698,936,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,936,234) = 2

common factors(in case of two or more numbers have common factors) = 234

GCF(698,936,234) x common factors =2 x 234 = 468

LCM(698,936,234) = ( 698 × 936 × 234 ) / 468

LCM(698,936,234) = 152878752 / 468

LCM(698,936,234) = 326664


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 66/698, 537/936, 218/234

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 66/698, 537/936, 218/234?

Answer: GCF of Numerators as per given numbers 66/698, 537/936, 218/234 is

GCF of Numerators i.e. for 66,537,218 is 1

LCM of denominators i.e. for 698,936,234 is 326664.

Thus, GCF of Fractions is 1/326664.Finally, GCF of Fractions for 66/698, 537/936, 218/234 is 1/326664.