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 362/976, 977/462

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 362/976, 977/462 i.e 1/225456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/976, 977/462.

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 362/976,977/462?

Given fractions are 362/976,977/462

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 362/976,977/462, numerators are 362,977

Denominators are 976,462

The GCF of 362,977 is 1 .

LCM of 976,462 is 225456.

The greatest common factor of 362/976,977/462 = [GCF of 362,977]/[LCM of 976,462]= 1/225456

Therefore, the GCF of 362/976,977/462 is 1/225456.

Greatest Common Factor of 362,977

To find the highest common factor of 362,977, we have to find the factors of both numbers and list the highest common factor.

The factors of 362 are 1, 2, 181, 362

The factors of 977 are 1, 977

The HCF of 362,977 is 1.

Lets's calculate GCF of 362,977

Greatest Common Factor (GCF) of 362,977 By Common Division

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

Greatest Common Factor of 362,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,977 By Matching Biggest Common Factor Method

Now, list down the factors of 362

:

1,2,181,362

Now, list down the factors of 977

:

1,977

Greatest Common Factor

We found the factors 362,977 . The biggest common factor number is the GCF number.
So the greatest common factor 362,977 is 1.

Lets's calculate LCM of 976,462

Lowest Common Multiple of 976,462 using Common Division

2 976, 462
488, 231

∴ So the LCM of the given numbers is 2 x 488 x 231 = 225456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225456

Therefore, the GCF of Fractions 362/976,977/462 is 1/225456

Least Common Multiple of 976,462 with GCF Formula

Least Common Multiple of 976,462 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 976,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,462) = 2

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

GCF(976,462) x common factors =2 x 1 = 2

LCM(976,462) = ( 976 × 462 ) / 2

LCM(976,462) = 450912 / 2

LCM(976,462) = 225456


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 362/976, 977/462

1. What is the HCF of 362,977?

The HCF of 362,977 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 362/976, 977/462?

Answer: GCF of Numerators as per given numbers 362/976, 977/462 is

GCF of Numerators i.e. for 362,977 is 1

LCM of denominators i.e. for 976,462 is 225456.

Thus, GCF of Fractions is 1/225456.Finally, GCF of Fractions for 362/976, 977/462 is 1/225456.