LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 975/512, 397/686

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 975/512, 397/686 i.e 1/175616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/512, 397/686.

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 975/512,397/686?

Given fractions are 975/512,397/686

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 975/512,397/686, numerators are 975,397

Denominators are 512,686

The GCF of 975,397 is 1 .

LCM of 512,686 is 175616.

The greatest common factor of 975/512,397/686 = [GCF of 975,397]/[LCM of 512,686]= 1/175616

Therefore, the GCF of 975/512,397/686 is 1/175616.

Greatest Common Factor of 975,397

To find the highest common factor of 975,397, we have to find the factors of both numbers and list the highest common factor.

The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

The factors of 397 are 1, 397

The HCF of 975,397 is 1.

Lets's calculate GCF of 975,397

Greatest Common Factor (GCF) of 975,397 By Common Division

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

Greatest Common Factor of 975,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,397 By Matching Biggest Common Factor Method

Now, list down the factors of 975

:

1,3,5,13,15,25,39,65,75,195,325,975

Now, list down the factors of 397

:

1,397

Greatest Common Factor

We found the factors 975,397 . The biggest common factor number is the GCF number.
So the greatest common factor 975,397 is 1.

Lets's calculate LCM of 512,686

Lowest Common Multiple of 512,686 using Common Division

2 512, 686
256, 343

∴ So the LCM of the given numbers is 2 x 256 x 343 = 175616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175616

Therefore, the GCF of Fractions 975/512,397/686 is 1/175616

Least Common Multiple of 512,686 with GCF Formula

Least Common Multiple of 512,686 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 512,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,686) = 2

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

GCF(512,686) x common factors =2 x 1 = 2

LCM(512,686) = ( 512 × 686 ) / 2

LCM(512,686) = 351232 / 2

LCM(512,686) = 175616


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 975/512, 397/686

1. What is the HCF of 975,397?

The HCF of 975,397 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 975/512, 397/686?

Answer: GCF of Numerators as per given numbers 975/512, 397/686 is

GCF of Numerators i.e. for 975,397 is 1

LCM of denominators i.e. for 512,686 is 175616.

Thus, GCF of Fractions is 1/175616.Finally, GCF of Fractions for 975/512, 397/686 is 1/175616.