Greatest Common Factor of 66/40, 74/67, 18/31, 49/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/40, 74/67, 18/31, 49/197

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 66/40,74/67,18/31,49/197

Given fractions are 66/40,74/67,18/31,49/197

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 66,74,18,49

Greatest Common Factor of Numerators i.e. GCF of 66,74,18,49 is 1 .

LCM of Denominators means LCM of 40,67,31,197 as per the given fractions.

LCM of 40,67,31,197 is 16366760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,74,18,49

GCF of Fractions 66/40,74/67,18/31,49/197 is 1/16366760

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

Greatest Common Factor of 66,74,18,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,74,18,49 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 66,74,18,49 . The biggest common factor number is the GCF number.
So the greatest common factor 66,74,18,49 is 1.

Lets's calculate LCM of 40,67,31,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 16366760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16366760

Therefore, the GCF of Fractions 66/40,74/67,18/31,49/197 is 1/16366760

Least Common Multiple of 40,67,31,197 with GCF Formula

Least Common Multiple of 40,67,31,197 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 40,67,31,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,67,31,197) = 1

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

GCF(40,67,31,197) x common factors =1 x 1 = 1

LCM(40,67,31,197) = ( 40 × 67 × 31 × 197 ) / 1

LCM(40,67,31,197) = 16366760 / 1

LCM(40,67,31,197) = 16366760


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 66/40, 74/67, 18/31, 49/197

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 66/40, 74/67, 18/31, 49/197?

Answer: GCF of Numerators as per given numbers 66/40, 74/67, 18/31, 49/197 is

GCF of Numerators i.e. for 66,74,18,49 is 1

LCM of denominators i.e. for 40,67,31,197 is 16366760.

Thus, GCF of Fractions is 1/16366760.Finally, GCF of Fractions for 66/40, 74/67, 18/31, 49/197 is 1/16366760.