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GCF of 940/73, 572/866

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 940/73, 572/866 i.e 4/63218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/73, 572/866.

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 940/73,572/866?

Given fractions are 940/73,572/866

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 940/73,572/866, numerators are 940,572

Denominators are 73,866

The GCF of 940,572 is 4 .

LCM of 73,866 is 63218.

The greatest common factor of 940/73,572/866 = [GCF of 940,572]/[LCM of 73,866]= 4/63218

Therefore, the GCF of 940/73,572/866 is 4/63218.

Greatest Common Factor of 940,572

To find the highest common factor of 940,572, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The HCF of 940,572 is 4.

Lets's calculate GCF of 940,572

Greatest Common Factor (GCF) of 940,572 By Common Division

2 940, 572
2 470, 286
235, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 940,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,572 By Matching Biggest Common Factor Method

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 572

:

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 940,572 . The biggest common factor number is the GCF number.
So the greatest common factor 940,572 is 4.

Lets's calculate LCM of 73,866

Lowest Common Multiple of 73,866 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/63218

Therefore, the GCF of Fractions 940/73,572/866 is 4/63218

Least Common Multiple of 73,866 with GCF Formula

Least Common Multiple of 73,866 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 73,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,866) = 1

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

GCF(73,866) x common factors =1 x 1 = 1

LCM(73,866) = ( 73 × 866 ) / 1

LCM(73,866) = 63218 / 1

LCM(73,866) = 63218


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FAQs on GCF of Fractions of 940/73, 572/866

1. What is the HCF of 940,572?

The HCF of 940,572 is 4

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 940/73, 572/866?

Answer: GCF of Numerators as per given numbers 940/73, 572/866 is

GCF of Numerators i.e. for 940,572 is 4

LCM of denominators i.e. for 73,866 is 63218.

Thus, GCF of Fractions is 4/63218.Finally, GCF of Fractions for 940/73, 572/866 is 4/63218.