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GCF of 811/87, 942/735

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 811/87, 942/735 i.e 1/21315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/87, 942/735.

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 811/87,942/735?

Given fractions are 811/87,942/735

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 811/87,942/735, numerators are 811,942

Denominators are 87,735

The GCF of 811,942 is 1 .

LCM of 87,735 is 21315.

The greatest common factor of 811/87,942/735 = [GCF of 811,942]/[LCM of 87,735]= 1/21315

Therefore, the GCF of 811/87,942/735 is 1/21315.

Greatest Common Factor of 811,942

To find the highest common factor of 811,942, we have to find the factors of both numbers and list the highest common factor.

The factors of 811 are 1, 811

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The HCF of 811,942 is 1.

Lets's calculate GCF of 811,942

Greatest Common Factor (GCF) of 811,942 By Common Division

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

Greatest Common Factor of 811,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,942 By Matching Biggest Common Factor Method

Now, list down the factors of 811

:

1,811

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 811,942 . The biggest common factor number is the GCF number.
So the greatest common factor 811,942 is 1.

Lets's calculate LCM of 87,735

Lowest Common Multiple of 87,735 using Common Division

3 87, 735
29, 245

∴ So the LCM of the given numbers is 3 x 29 x 245 = 21315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21315

Therefore, the GCF of Fractions 811/87,942/735 is 1/21315

Least Common Multiple of 87,735 with GCF Formula

Least Common Multiple of 87,735 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 87,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,735) = 3

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

GCF(87,735) x common factors =3 x 1 = 3

LCM(87,735) = ( 87 × 735 ) / 3

LCM(87,735) = 63945 / 3

LCM(87,735) = 21315


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FAQs on GCF of Fractions of 811/87, 942/735

1. What is the HCF of 811,942?

The HCF of 811,942 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 811/87, 942/735?

Answer: GCF of Numerators as per given numbers 811/87, 942/735 is

GCF of Numerators i.e. for 811,942 is 1

LCM of denominators i.e. for 87,735 is 21315.

Thus, GCF of Fractions is 1/21315.Finally, GCF of Fractions for 811/87, 942/735 is 1/21315.