How to Find GCF of 21/920, 966/284, 958/857?

GCF of 21/920, 966/284, 958/857

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 21/920, 966/284, 958/857 i.e 1/55979240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/920, 966/284, 958/857.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 21/920,966/284,958/857?

Given fractions are 21/920,966/284,958/857

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 21/920,966/284,958/857, numerators are 21,966,958

Denominators are 920,284,857

The GCF of 21,966,958 is 1 .

LCM of 920,284,857 is 55979240.

The greatest common factor of 21/920,966/284,958/857 = [GCF of 21,966,958]/[LCM of 920,284,857]= 1/55979240

Therefore, the GCF of 21/920,966/284,958/857 is 1/55979240.

Greatest Common Factor of 21,966,958

To find the highest common factor of 21,966,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

The factors of 958 are 1, 2, 479, 958

The HCF of 21,966,958 is 1.

Lets's calculate GCF of 21,966,958

Greatest Common Factor (GCF) of 21,966,958 By Common Division

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

Greatest Common Factor of 21,966,958 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 966

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 21,966,958 . The biggest common factor number is the GCF number.
So the greatest common factor 21,966,958 is 1.

Lets's calculate LCM of 920,284,857

Lowest Common Multiple of 920,284,857 using Common Division

2	920, 284, 857
2	460, 142, 857
	230, 71, 857

∴ So the LCM of the given numbers is 2 x 2 x 230 x 71 x 857 = 55979240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55979240

Therefore, the GCF of Fractions 21/920,966/284,958/857 is 1/55979240

Least Common Multiple of 920,284,857 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 920,284,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,284,857) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(920,284,857) x common factors =1 x 4 = 4

LCM(920,284,857) = ( 920 × 284 × 857 ) / 4

LCM(920,284,857) = 223916960 / 4

LCM(920,284,857) = 55979240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 21/920, 966/284, 958/857

1. What is the HCF of 21,966,958?

The HCF of 21,966,958 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 21/920, 966/284, 958/857?

Answer: GCF of Numerators as per given numbers 21/920, 966/284, 958/857 is

GCF of Numerators i.e. for 21,966,958 is 1

LCM of denominators i.e. for 920,284,857 is 55979240.

Thus, GCF of Fractions is 1/55979240.Finally, GCF of Fractions for 21/920, 966/284, 958/857 is 1/55979240.