How to Find GCF of 52/124, 8461/3475?

GCF of 52/124, 8461/3475

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 52/124, 8461/3475 i.e 1/430900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/124, 8461/3475.

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 52/124,8461/3475?

Given fractions are 52/124,8461/3475

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 52/124,8461/3475, numerators are 52,8461

Denominators are 124,3475

The GCF of 52,8461 is 1 .

LCM of 124,3475 is 430900.

The greatest common factor of 52/124,8461/3475 = [GCF of 52,8461]/[LCM of 124,3475]= 1/430900

Therefore, the GCF of 52/124,8461/3475 is 1/430900.

Greatest Common Factor of 52,8461

To find the highest common factor of 52,8461, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 8461 are 1, 8461

The HCF of 52,8461 is 1.

Lets's calculate GCF of 52,8461

Greatest Common Factor (GCF) of 52,8461 By Common Division

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

Greatest Common Factor of 52,8461 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 8461

1,8461

Greatest Common Factor

We found the factors 52,8461 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8461 is 1.

Lets's calculate LCM of 124,3475

Lowest Common Multiple of 124,3475 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 430900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430900

Therefore, the GCF of Fractions 52/124,8461/3475 is 1/430900

Least Common Multiple of 124,3475 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 124,3475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,3475) = 1

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

GCF(124,3475) x common factors =1 x 1 = 1

LCM(124,3475) = ( 124 × 3475 ) / 1

LCM(124,3475) = 430900 / 1

LCM(124,3475) = 430900

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FAQs on GCF of Fractions of 52/124, 8461/3475

1. What is the HCF of 52,8461?

The HCF of 52,8461 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 52/124, 8461/3475?

Answer: GCF of Numerators as per given numbers 52/124, 8461/3475 is

GCF of Numerators i.e. for 52,8461 is 1

LCM of denominators i.e. for 124,3475 is 430900.

Thus, GCF of Fractions is 1/430900.Finally, GCF of Fractions for 52/124, 8461/3475 is 1/430900.