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 486/80, 565/974

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 486/80, 565/974 i.e 1/38960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 486/80, 565/974.

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 486/80,565/974?

Given fractions are 486/80,565/974

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 486/80,565/974, numerators are 486,565

Denominators are 80,974

The GCF of 486,565 is 1 .

LCM of 80,974 is 38960.

The greatest common factor of 486/80,565/974 = [GCF of 486,565]/[LCM of 80,974]= 1/38960

Therefore, the GCF of 486/80,565/974 is 1/38960.

Greatest Common Factor of 486,565

To find the highest common factor of 486,565, we have to find the factors of both numbers and list the highest common factor.

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

The factors of 565 are 1, 5, 113, 565

The HCF of 486,565 is 1.

Lets's calculate GCF of 486,565

Greatest Common Factor (GCF) of 486,565 By Common Division

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

Greatest Common Factor of 486,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,565 By Matching Biggest Common Factor Method

Now, list down the factors of 486

:

1,2,3,6,9,18,27,54,81,162,243,486

Now, list down the factors of 565

:

1,5,113,565

Greatest Common Factor

We found the factors 486,565 . The biggest common factor number is the GCF number.
So the greatest common factor 486,565 is 1.

Lets's calculate LCM of 80,974

Lowest Common Multiple of 80,974 using Common Division

2 80, 974
40, 487

∴ So the LCM of the given numbers is 2 x 40 x 487 = 38960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38960

Therefore, the GCF of Fractions 486/80,565/974 is 1/38960

Least Common Multiple of 80,974 with GCF Formula

Least Common Multiple of 80,974 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 80,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,974) = 2

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

GCF(80,974) x common factors =2 x 1 = 2

LCM(80,974) = ( 80 × 974 ) / 2

LCM(80,974) = 77920 / 2

LCM(80,974) = 38960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 486/80, 565/974

1. What is the HCF of 486,565?

The HCF of 486,565 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 486/80, 565/974?

Answer: GCF of Numerators as per given numbers 486/80, 565/974 is

GCF of Numerators i.e. for 486,565 is 1

LCM of denominators i.e. for 80,974 is 38960.

Thus, GCF of Fractions is 1/38960.Finally, GCF of Fractions for 486/80, 565/974 is 1/38960.