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GCF of 461/206, 7899/3878

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 461/206, 7899/3878 i.e 1/399434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/206, 7899/3878.

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 461/206,7899/3878?

Given fractions are 461/206,7899/3878

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 461/206,7899/3878, numerators are 461,7899

Denominators are 206,3878

The GCF of 461,7899 is 1 .

LCM of 206,3878 is 399434.

The greatest common factor of 461/206,7899/3878 = [GCF of 461,7899]/[LCM of 206,3878]= 1/399434

Therefore, the GCF of 461/206,7899/3878 is 1/399434.

Greatest Common Factor of 461,7899

To find the highest common factor of 461,7899, we have to find the factors of both numbers and list the highest common factor.

The factors of 461 are 1, 461

The factors of 7899 are 1, 3, 2633, 7899

The HCF of 461,7899 is 1.

Lets's calculate GCF of 461,7899

Greatest Common Factor (GCF) of 461,7899 By Common Division

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

Greatest Common Factor of 461,7899 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,7899 By Matching Biggest Common Factor Method

Now, list down the factors of 461

:

1,461

Now, list down the factors of 7899

:

1,3,2633,7899

Greatest Common Factor

We found the factors 461,7899 . The biggest common factor number is the GCF number.
So the greatest common factor 461,7899 is 1.

Lets's calculate LCM of 206,3878

Lowest Common Multiple of 206,3878 using Common Division

2 206, 3878
103, 1939

∴ So the LCM of the given numbers is 2 x 103 x 1939 = 399434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399434

Therefore, the GCF of Fractions 461/206,7899/3878 is 1/399434

Least Common Multiple of 206,3878 with GCF Formula

Least Common Multiple of 206,3878 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 206,3878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,3878) = 2

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

GCF(206,3878) x common factors =2 x 1 = 2

LCM(206,3878) = ( 206 × 3878 ) / 2

LCM(206,3878) = 798868 / 2

LCM(206,3878) = 399434


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FAQs on GCF of Fractions of 461/206, 7899/3878

1. What is the HCF of 461,7899?

The HCF of 461,7899 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 461/206, 7899/3878?

Answer: GCF of Numerators as per given numbers 461/206, 7899/3878 is

GCF of Numerators i.e. for 461,7899 is 1

LCM of denominators i.e. for 206,3878 is 399434.

Thus, GCF of Fractions is 1/399434.Finally, GCF of Fractions for 461/206, 7899/3878 is 1/399434.