How to Find GCF of 389/464, 1975/524?

GCF of 389/464, 1975/524

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 389/464, 1975/524 i.e 1/60784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/464, 1975/524.

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 389/464,1975/524?

Given fractions are 389/464,1975/524

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 389/464,1975/524, numerators are 389,1975

Denominators are 464,524

The GCF of 389,1975 is 1 .

LCM of 464,524 is 60784.

The greatest common factor of 389/464,1975/524 = [GCF of 389,1975]/[LCM of 464,524]= 1/60784

Therefore, the GCF of 389/464,1975/524 is 1/60784.

Greatest Common Factor of 389,1975

To find the highest common factor of 389,1975, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 1975 are 1, 5, 25, 79, 395, 1975

The HCF of 389,1975 is 1.

Lets's calculate GCF of 389,1975

Greatest Common Factor (GCF) of 389,1975 By Common Division

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

Greatest Common Factor of 389,1975 By Matching Biggest Common Factor Method

Now, list down the factors of 389

1,389

Now, list down the factors of 1975

1,5,25,79,395,1975

Greatest Common Factor

We found the factors 389,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 389,1975 is 1.

Lets's calculate LCM of 464,524

Lowest Common Multiple of 464,524 using Common Division

2	464, 524
2	232, 262
	116, 131

∴ So the LCM of the given numbers is 2 x 2 x 116 x 131 = 60784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60784

Therefore, the GCF of Fractions 389/464,1975/524 is 1/60784

Least Common Multiple of 464,524 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 464,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,524) = 4

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

GCF(464,524) x common factors =4 x 1 = 4

LCM(464,524) = ( 464 × 524 ) / 4

LCM(464,524) = 243136 / 4

LCM(464,524) = 60784

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 389/464, 1975/524

1. What is the HCF of 389,1975?

The HCF of 389,1975 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 389/464, 1975/524?

Answer: GCF of Numerators as per given numbers 389/464, 1975/524 is

GCF of Numerators i.e. for 389,1975 is 1

LCM of denominators i.e. for 464,524 is 60784.

Thus, GCF of Fractions is 1/60784.Finally, GCF of Fractions for 389/464, 1975/524 is 1/60784.