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 4261/204, 3679/861

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 4261/204, 3679/861 i.e 1/58548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4261/204, 3679/861.

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 4261/204,3679/861?

Given fractions are 4261/204,3679/861

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 4261/204,3679/861, numerators are 4261,3679

Denominators are 204,861

The GCF of 4261,3679 is 1 .

LCM of 204,861 is 58548.

The greatest common factor of 4261/204,3679/861 = [GCF of 4261,3679]/[LCM of 204,861]= 1/58548

Therefore, the GCF of 4261/204,3679/861 is 1/58548.

Greatest Common Factor of 4261,3679

To find the highest common factor of 4261,3679, we have to find the factors of both numbers and list the highest common factor.

The factors of 4261 are 1, 4261

The factors of 3679 are 1, 13, 283, 3679

The HCF of 4261,3679 is 1.

Lets's calculate GCF of 4261,3679

Greatest Common Factor (GCF) of 4261,3679 By Common Division

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

Greatest Common Factor of 4261,3679 By Matching Biggest Common Factor Method

Greatest Common Factor of 4261,3679 By Matching Biggest Common Factor Method

Now, list down the factors of 4261

:

1,4261

Now, list down the factors of 3679

:

1,13,283,3679

Greatest Common Factor

We found the factors 4261,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 4261,3679 is 1.

Lets's calculate LCM of 204,861

Lowest Common Multiple of 204,861 using Common Division

3 204, 861
68, 287

∴ So the LCM of the given numbers is 3 x 68 x 287 = 58548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58548

Therefore, the GCF of Fractions 4261/204,3679/861 is 1/58548

Least Common Multiple of 204,861 with GCF Formula

Least Common Multiple of 204,861 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 204,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,861) = 3

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

GCF(204,861) x common factors =3 x 1 = 3

LCM(204,861) = ( 204 × 861 ) / 3

LCM(204,861) = 175644 / 3

LCM(204,861) = 58548


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4261/204, 3679/861

1. What is the HCF of 4261,3679?

The HCF of 4261,3679 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 4261/204, 3679/861?

Answer: GCF of Numerators as per given numbers 4261/204, 3679/861 is

GCF of Numerators i.e. for 4261,3679 is 1

LCM of denominators i.e. for 204,861 is 58548.

Thus, GCF of Fractions is 1/58548.Finally, GCF of Fractions for 4261/204, 3679/861 is 1/58548.