How to Find GCF of 461/614, 9575/6093?

GCF of 461/614, 9575/6093

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 461/614, 9575/6093 i.e 1/3741102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/614, 9575/6093.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 461/614,9575/6093?

Given fractions are 461/614,9575/6093

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 461/614,9575/6093, numerators are 461,9575

Denominators are 614,6093

The GCF of 461,9575 is 1 .

LCM of 614,6093 is 3741102.

The greatest common factor of 461/614,9575/6093 = [GCF of 461,9575]/[LCM of 614,6093]= 1/3741102

Therefore, the GCF of 461/614,9575/6093 is 1/3741102.

Greatest Common Factor of 461,9575

To find the highest common factor of 461,9575, 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 9575 are 1, 5, 25, 383, 1915, 9575

The HCF of 461,9575 is 1.

Lets's calculate GCF of 461,9575

Greatest Common Factor (GCF) of 461,9575 By Common Division

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

Greatest Common Factor of 461,9575 By Matching Biggest Common Factor Method

Now, list down the factors of 461

1,461

Now, list down the factors of 9575

1,5,25,383,1915,9575

Greatest Common Factor

We found the factors 461,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 461,9575 is 1.

Lets's calculate LCM of 614,6093

Lowest Common Multiple of 614,6093 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3741102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3741102

Therefore, the GCF of Fractions 461/614,9575/6093 is 1/3741102

Least Common Multiple of 614,6093 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 614,6093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,6093) = 1

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

GCF(614,6093) x common factors =1 x 1 = 1

LCM(614,6093) = ( 614 × 6093 ) / 1

LCM(614,6093) = 3741102 / 1

LCM(614,6093) = 3741102

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FAQs on GCF of Fractions of 461/614, 9575/6093

1. What is the HCF of 461,9575?

The HCF of 461,9575 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 461/614, 9575/6093?

Answer: GCF of Numerators as per given numbers 461/614, 9575/6093 is

GCF of Numerators i.e. for 461,9575 is 1

LCM of denominators i.e. for 614,6093 is 3741102.

Thus, GCF of Fractions is 1/3741102.Finally, GCF of Fractions for 461/614, 9575/6093 is 1/3741102.