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 815/66, 180/572

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 815/66, 180/572 i.e 5/1716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/66, 180/572.

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 815/66,180/572?

Given fractions are 815/66,180/572

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 815/66,180/572, numerators are 815,180

Denominators are 66,572

The GCF of 815,180 is 5 .

LCM of 66,572 is 1716.

The greatest common factor of 815/66,180/572 = [GCF of 815,180]/[LCM of 66,572]= 5/1716

Therefore, the GCF of 815/66,180/572 is 5/1716.

Greatest Common Factor of 815,180

To find the highest common factor of 815,180, we have to find the factors of both numbers and list the highest common factor.

The factors of 815 are 1, 5, 163, 815

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The HCF of 815,180 is 5.

Lets's calculate GCF of 815,180

Greatest Common Factor (GCF) of 815,180 By Common Division

5 815, 180
163, 36

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 815,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,180 By Matching Biggest Common Factor Method

Now, list down the factors of 815

:

1,5,163,815

Now, list down the factors of 180

:

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 815,180 . The biggest common factor number is the GCF number.
So the greatest common factor 815,180 is 5.

Lets's calculate LCM of 66,572

Lowest Common Multiple of 66,572 using Common Division

2 66, 572
11 33, 286
3, 26

∴ So the LCM of the given numbers is 2 x 11 x 3 x 26 = 1716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1716

Therefore, the GCF of Fractions 815/66,180/572 is 5/1716

Least Common Multiple of 66,572 with GCF Formula

Least Common Multiple of 66,572 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 66,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,572) = 22

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

GCF(66,572) x common factors =22 x 1 = 22

LCM(66,572) = ( 66 × 572 ) / 22

LCM(66,572) = 37752 / 22

LCM(66,572) = 1716


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 815/66, 180/572

1. What is the HCF of 815,180?

The HCF of 815,180 is 5

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 815/66, 180/572?

Answer: GCF of Numerators as per given numbers 815/66, 180/572 is

GCF of Numerators i.e. for 815,180 is 5

LCM of denominators i.e. for 66,572 is 1716.

Thus, GCF of Fractions is 5/1716.Finally, GCF of Fractions for 815/66, 180/572 is 5/1716.