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GCF of 461/271, 8407/955

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 461/271, 8407/955 i.e 1/258805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/271, 8407/955.

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 461/271,8407/955?

Given fractions are 461/271,8407/955

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 461/271,8407/955, numerators are 461,8407

Denominators are 271,955

The GCF of 461,8407 is 1 .

LCM of 271,955 is 258805.

The greatest common factor of 461/271,8407/955 = [GCF of 461,8407]/[LCM of 271,955]= 1/258805

Therefore, the GCF of 461/271,8407/955 is 1/258805.

Greatest Common Factor of 461,8407

To find the highest common factor of 461,8407, 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 8407 are 1, 7, 1201, 8407

The HCF of 461,8407 is 1.

Lets's calculate GCF of 461,8407

Greatest Common Factor (GCF) of 461,8407 By Common Division

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

Greatest Common Factor of 461,8407 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,8407 By Matching Biggest Common Factor Method

Now, list down the factors of 461

:

1,461

Now, list down the factors of 8407

:

1,7,1201,8407

Greatest Common Factor

We found the factors 461,8407 . The biggest common factor number is the GCF number.
So the greatest common factor 461,8407 is 1.

Lets's calculate LCM of 271,955

Lowest Common Multiple of 271,955 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 258805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258805

Therefore, the GCF of Fractions 461/271,8407/955 is 1/258805

Least Common Multiple of 271,955 with GCF Formula

Least Common Multiple of 271,955 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 271,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,955) = 1

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

GCF(271,955) x common factors =1 x 1 = 1

LCM(271,955) = ( 271 × 955 ) / 1

LCM(271,955) = 258805 / 1

LCM(271,955) = 258805


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FAQs on GCF of Fractions of 461/271, 8407/955

1. What is the HCF of 461,8407?

The HCF of 461,8407 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 461/271, 8407/955?

Answer: GCF of Numerators as per given numbers 461/271, 8407/955 is

GCF of Numerators i.e. for 461,8407 is 1

LCM of denominators i.e. for 271,955 is 258805.

Thus, GCF of Fractions is 1/258805.Finally, GCF of Fractions for 461/271, 8407/955 is 1/258805.