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GCF of 811/36, 669/820

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 811/36, 669/820 i.e 1/7380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/36, 669/820.

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 811/36,669/820?

Given fractions are 811/36,669/820

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 811/36,669/820, numerators are 811,669

Denominators are 36,820

The GCF of 811,669 is 1 .

LCM of 36,820 is 7380.

The greatest common factor of 811/36,669/820 = [GCF of 811,669]/[LCM of 36,820]= 1/7380

Therefore, the GCF of 811/36,669/820 is 1/7380.

Greatest Common Factor of 811,669

To find the highest common factor of 811,669, 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 669 are 1, 3, 223, 669

The HCF of 811,669 is 1.

Lets's calculate GCF of 811,669

Greatest Common Factor (GCF) of 811,669 By Common Division

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

Greatest Common Factor of 811,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,669 By Matching Biggest Common Factor Method

Now, list down the factors of 811

:

1,811

Now, list down the factors of 669

:

1,3,223,669

Greatest Common Factor

We found the factors 811,669 . The biggest common factor number is the GCF number.
So the greatest common factor 811,669 is 1.

Lets's calculate LCM of 36,820

Lowest Common Multiple of 36,820 using Common Division

2 36, 820
2 18, 410
9, 205

∴ So the LCM of the given numbers is 2 x 2 x 9 x 205 = 7380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7380

Therefore, the GCF of Fractions 811/36,669/820 is 1/7380

Least Common Multiple of 36,820 with GCF Formula

Least Common Multiple of 36,820 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 36,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,820) = 4

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

GCF(36,820) x common factors =4 x 1 = 4

LCM(36,820) = ( 36 × 820 ) / 4

LCM(36,820) = 29520 / 4

LCM(36,820) = 7380


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FAQs on GCF of Fractions of 811/36, 669/820

1. What is the HCF of 811,669?

The HCF of 811,669 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 811/36, 669/820?

Answer: GCF of Numerators as per given numbers 811/36, 669/820 is

GCF of Numerators i.e. for 811,669 is 1

LCM of denominators i.e. for 36,820 is 7380.

Thus, GCF of Fractions is 1/7380.Finally, GCF of Fractions for 811/36, 669/820 is 1/7380.