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 807/444, 940/108, 276/567

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 807/444, 940/108, 276/567 i.e 1/83916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/444, 940/108, 276/567.

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 807/444,940/108,276/567?

Given fractions are 807/444,940/108,276/567

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 807/444,940/108,276/567, numerators are 807,940,276

Denominators are 444,108,567

The GCF of 807,940,276 is 1 .

LCM of 444,108,567 is 83916.

The greatest common factor of 807/444,940/108,276/567 = [GCF of 807,940,276]/[LCM of 444,108,567]= 1/83916

Therefore, the GCF of 807/444,940/108,276/567 is 1/83916.

Greatest Common Factor of 807,940,276

To find the highest common factor of 807,940,276, we have to find the factors of both numbers and list the highest common factor.

The factors of 807 are 1, 3, 269, 807

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

The HCF of 807,940,276 is 1.

Lets's calculate GCF of 807,940,276

Greatest Common Factor (GCF) of 807,940,276 By Common Division

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

Greatest Common Factor of 807,940,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,940,276 By Matching Biggest Common Factor Method

Now, list down the factors of 807

:

1,3,269,807

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 807,940,276 . The biggest common factor number is the GCF number.
So the greatest common factor 807,940,276 is 1.


Lets's calculate LCM of 444,108,567

Lowest Common Multiple of 444,108,567 using Common Division

2 444, 108, 567
2 222, 54, 567
3 111, 27, 567
3 37, 9, 189
3 37, 3, 63
37, 1, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 37 x 1 x 21 = 83916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83916

Therefore, the GCF of Fractions 807/444,940/108,276/567 is 1/83916

Least Common Multiple of 444,108,567 with GCF Formula

Least Common Multiple of 444,108,567 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 444,108,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,108,567) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(444,108,567) x common factors =3 x 108 = 324

LCM(444,108,567) = ( 444 × 108 × 567 ) / 324

LCM(444,108,567) = 27188784 / 324

LCM(444,108,567) = 83916


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 807/444, 940/108, 276/567

1. What is the HCF of 807,940,276?

The HCF of 807,940,276 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 807/444, 940/108, 276/567?

Answer: GCF of Numerators as per given numbers 807/444, 940/108, 276/567 is

GCF of Numerators i.e. for 807,940,276 is 1

LCM of denominators i.e. for 444,108,567 is 83916.

Thus, GCF of Fractions is 1/83916.Finally, GCF of Fractions for 807/444, 940/108, 276/567 is 1/83916.