LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 74/191, 64/5381

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 74/191, 64/5381 i.e 2/1027771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/191, 64/5381.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 74/191,64/5381?

Given fractions are 74/191,64/5381

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 74/191,64/5381, numerators are 74,64

Denominators are 191,5381

The GCF of 74,64 is 2 .

LCM of 191,5381 is 1027771.

The greatest common factor of 74/191,64/5381 = [GCF of 74,64]/[LCM of 191,5381]= 2/1027771

Therefore, the GCF of 74/191,64/5381 is 2/1027771.

Greatest Common Factor of 74,64

To find the highest common factor of 74,64, we have to find the factors of both numbers and list the highest common factor.

The factors of 74 are 1, 2, 37, 74

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The HCF of 74,64 is 2.

Lets's calculate GCF of 74,64

Greatest Common Factor (GCF) of 74,64 By Common Division

2 74, 64
37, 32

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

Greatest Common Factor of 74,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,64 By Matching Biggest Common Factor Method

Now, list down the factors of 74

:

1,2,37,74

Now, list down the factors of 64

:

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 74,64 . The biggest common factor number is the GCF number.
So the greatest common factor 74,64 is 2.

Lets's calculate LCM of 191,5381

Lowest Common Multiple of 191,5381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1027771

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1027771

Therefore, the GCF of Fractions 74/191,64/5381 is 2/1027771

Least Common Multiple of 191,5381 with GCF Formula

Least Common Multiple of 191,5381 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 191,5381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,5381) = 1

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

GCF(191,5381) x common factors =1 x 1 = 1

LCM(191,5381) = ( 191 × 5381 ) / 1

LCM(191,5381) = 1027771 / 1

LCM(191,5381) = 1027771


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 74/191, 64/5381

1. What is the HCF of 74,64?

The HCF of 74,64 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 74/191, 64/5381?

Answer: GCF of Numerators as per given numbers 74/191, 64/5381 is

GCF of Numerators i.e. for 74,64 is 2

LCM of denominators i.e. for 191,5381 is 1027771.

Thus, GCF of Fractions is 2/1027771.Finally, GCF of Fractions for 74/191, 64/5381 is 2/1027771.