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GCF of 828/20, 961/924

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 828/20, 961/924 i.e 1/4620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/20, 961/924.

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 828/20,961/924?

Given fractions are 828/20,961/924

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 828/20,961/924, numerators are 828,961

Denominators are 20,924

The GCF of 828,961 is 1 .

LCM of 20,924 is 4620.

The greatest common factor of 828/20,961/924 = [GCF of 828,961]/[LCM of 20,924]= 1/4620

Therefore, the GCF of 828/20,961/924 is 1/4620.

Greatest Common Factor of 828,961

To find the highest common factor of 828,961, we have to find the factors of both numbers and list the highest common factor.

The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

The factors of 961 are 1, 31, 961

The HCF of 828,961 is 1.

Lets's calculate GCF of 828,961

Greatest Common Factor (GCF) of 828,961 By Common Division

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

Greatest Common Factor of 828,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,961 By Matching Biggest Common Factor Method

Now, list down the factors of 828

:

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Now, list down the factors of 961

:

1,31,961

Greatest Common Factor

We found the factors 828,961 . The biggest common factor number is the GCF number.
So the greatest common factor 828,961 is 1.

Lets's calculate LCM of 20,924

Lowest Common Multiple of 20,924 using Common Division

2 20, 924
2 10, 462
5, 231

∴ So the LCM of the given numbers is 2 x 2 x 5 x 231 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 828/20,961/924 is 1/4620

Least Common Multiple of 20,924 with GCF Formula

Least Common Multiple of 20,924 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 20,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,924) = 4

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

GCF(20,924) x common factors =4 x 1 = 4

LCM(20,924) = ( 20 × 924 ) / 4

LCM(20,924) = 18480 / 4

LCM(20,924) = 4620


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 828/20, 961/924

1. What is the HCF of 828,961?

The HCF of 828,961 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 828/20, 961/924?

Answer: GCF of Numerators as per given numbers 828/20, 961/924 is

GCF of Numerators i.e. for 828,961 is 1

LCM of denominators i.e. for 20,924 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 828/20, 961/924 is 1/4620.