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 401/188, 361/684

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 401/188, 361/684 i.e 1/32148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 401/188, 361/684.

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 401/188,361/684?

Given fractions are 401/188,361/684

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 401/188,361/684, numerators are 401,361

Denominators are 188,684

The GCF of 401,361 is 1 .

LCM of 188,684 is 32148.

The greatest common factor of 401/188,361/684 = [GCF of 401,361]/[LCM of 188,684]= 1/32148

Therefore, the GCF of 401/188,361/684 is 1/32148.

Greatest Common Factor of 401,361

To find the highest common factor of 401,361, we have to find the factors of both numbers and list the highest common factor.

The factors of 401 are 1, 401

The factors of 361 are 1, 19, 361

The HCF of 401,361 is 1.

Lets's calculate GCF of 401,361

Greatest Common Factor (GCF) of 401,361 By Common Division

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

Greatest Common Factor of 401,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,361 By Matching Biggest Common Factor Method

Now, list down the factors of 401

:

1,401

Now, list down the factors of 361

:

1,19,361

Greatest Common Factor

We found the factors 401,361 . The biggest common factor number is the GCF number.
So the greatest common factor 401,361 is 1.

Lets's calculate LCM of 188,684

Lowest Common Multiple of 188,684 using Common Division

2 188, 684
2 94, 342
47, 171

∴ So the LCM of the given numbers is 2 x 2 x 47 x 171 = 32148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32148

Therefore, the GCF of Fractions 401/188,361/684 is 1/32148

Least Common Multiple of 188,684 with GCF Formula

Least Common Multiple of 188,684 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 188,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,684) = 4

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

GCF(188,684) x common factors =4 x 1 = 4

LCM(188,684) = ( 188 × 684 ) / 4

LCM(188,684) = 128592 / 4

LCM(188,684) = 32148


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 401/188, 361/684

1. What is the HCF of 401,361?

The HCF of 401,361 is 1

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 401/188, 361/684?

Answer: GCF of Numerators as per given numbers 401/188, 361/684 is

GCF of Numerators i.e. for 401,361 is 1

LCM of denominators i.e. for 188,684 is 32148.

Thus, GCF of Fractions is 1/32148.Finally, GCF of Fractions for 401/188, 361/684 is 1/32148.