How to Find GCF of 21/465, 601/770, 489/934?

GCF of 21/465, 601/770, 489/934

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 21/465, 601/770, 489/934 i.e 1/33441870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/465, 601/770, 489/934.

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 21/465,601/770,489/934?

Given fractions are 21/465,601/770,489/934

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 21/465,601/770,489/934, numerators are 21,601,489

Denominators are 465,770,934

The GCF of 21,601,489 is 1 .

LCM of 465,770,934 is 33441870.

The greatest common factor of 21/465,601/770,489/934 = [GCF of 21,601,489]/[LCM of 465,770,934]= 1/33441870

Therefore, the GCF of 21/465,601/770,489/934 is 1/33441870.

Greatest Common Factor of 21,601,489

To find the highest common factor of 21,601,489, 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 601 are 1, 601

The factors of 489 are 1, 3, 163, 489

The HCF of 21,601,489 is 1.

Lets's calculate GCF of 21,601,489

Greatest Common Factor (GCF) of 21,601,489 By Common Division

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

Greatest Common Factor of 21,601,489 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 601

1,601

Now, list down the factors of 489

1,3,163,489

Greatest Common Factor

We found the factors 21,601,489 . The biggest common factor number is the GCF number.
So the greatest common factor 21,601,489 is 1.

Lets's calculate LCM of 465,770,934

Lowest Common Multiple of 465,770,934 using Common Division

2	465, 770, 934
5	465, 385, 467
	93, 77, 467

∴ So the LCM of the given numbers is 2 x 5 x 93 x 77 x 467 = 33441870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33441870

Therefore, the GCF of Fractions 21/465,601/770,489/934 is 1/33441870

Least Common Multiple of 465,770,934 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 465,770,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,770,934) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(465,770,934) x common factors =1 x 10 = 10

LCM(465,770,934) = ( 465 × 770 × 934 ) / 10

LCM(465,770,934) = 334418700 / 10

LCM(465,770,934) = 33441870

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 21/465, 601/770, 489/934

1. What is the HCF of 21,601,489?

The HCF of 21,601,489 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 21/465, 601/770, 489/934?

Answer: GCF of Numerators as per given numbers 21/465, 601/770, 489/934 is

GCF of Numerators i.e. for 21,601,489 is 1

LCM of denominators i.e. for 465,770,934 is 33441870.

Thus, GCF of Fractions is 1/33441870.Finally, GCF of Fractions for 21/465, 601/770, 489/934 is 1/33441870.