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 205/326, 6712/381

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 205/326, 6712/381 i.e 1/124206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/326, 6712/381.

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 205/326,6712/381?

Given fractions are 205/326,6712/381

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 205/326,6712/381, numerators are 205,6712

Denominators are 326,381

The GCF of 205,6712 is 1 .

LCM of 326,381 is 124206.

The greatest common factor of 205/326,6712/381 = [GCF of 205,6712]/[LCM of 326,381]= 1/124206

Therefore, the GCF of 205/326,6712/381 is 1/124206.

Greatest Common Factor of 205,6712

To find the highest common factor of 205,6712, we have to find the factors of both numbers and list the highest common factor.

The factors of 205 are 1, 5, 41, 205

The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712

The HCF of 205,6712 is 1.

Lets's calculate GCF of 205,6712

Greatest Common Factor (GCF) of 205,6712 By Common Division

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

Greatest Common Factor of 205,6712 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,6712 By Matching Biggest Common Factor Method

Now, list down the factors of 205

:

1,5,41,205

Now, list down the factors of 6712

:

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors 205,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 205,6712 is 1.

Lets's calculate LCM of 326,381

Lowest Common Multiple of 326,381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 124206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124206

Therefore, the GCF of Fractions 205/326,6712/381 is 1/124206

Least Common Multiple of 326,381 with GCF Formula

Least Common Multiple of 326,381 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 326,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,381) = 1

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

GCF(326,381) x common factors =1 x 1 = 1

LCM(326,381) = ( 326 × 381 ) / 1

LCM(326,381) = 124206 / 1

LCM(326,381) = 124206


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 205/326, 6712/381

1. What is the HCF of 205,6712?

The HCF of 205,6712 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 205/326, 6712/381?

Answer: GCF of Numerators as per given numbers 205/326, 6712/381 is

GCF of Numerators i.e. for 205,6712 is 1

LCM of denominators i.e. for 326,381 is 124206.

Thus, GCF of Fractions is 1/124206.Finally, GCF of Fractions for 205/326, 6712/381 is 1/124206.