How to Find GCF of 21/844, 885/976, 514/745?

GCF of 21/844, 885/976, 514/745

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 21/844, 885/976, 514/745 i.e 1/153422320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/844, 885/976, 514/745.

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 21/844,885/976,514/745?

Given fractions are 21/844,885/976,514/745

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 21/844,885/976,514/745, numerators are 21,885,514

Denominators are 844,976,745

The GCF of 21,885,514 is 1 .

LCM of 844,976,745 is 153422320.

The greatest common factor of 21/844,885/976,514/745 = [GCF of 21,885,514]/[LCM of 844,976,745]= 1/153422320

Therefore, the GCF of 21/844,885/976,514/745 is 1/153422320.

Greatest Common Factor of 21,885,514

To find the highest common factor of 21,885,514, 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 885 are 1, 3, 5, 15, 59, 177, 295, 885

The factors of 514 are 1, 2, 257, 514

The HCF of 21,885,514 is 1.

Lets's calculate GCF of 21,885,514

Greatest Common Factor (GCF) of 21,885,514 By Common Division

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

Greatest Common Factor of 21,885,514 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Now, list down the factors of 514

1,2,257,514

Greatest Common Factor

We found the factors 21,885,514 . The biggest common factor number is the GCF number.
So the greatest common factor 21,885,514 is 1.

Lets's calculate LCM of 844,976,745

Lowest Common Multiple of 844,976,745 using Common Division

2	844, 976, 745
2	422, 488, 745
	211, 244, 745

∴ So the LCM of the given numbers is 2 x 2 x 211 x 244 x 745 = 153422320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153422320

Therefore, the GCF of Fractions 21/844,885/976,514/745 is 1/153422320

Least Common Multiple of 844,976,745 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 844,976,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,976,745) = 1

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

GCF(844,976,745) x common factors =1 x 4 = 4

LCM(844,976,745) = ( 844 × 976 × 745 ) / 4

LCM(844,976,745) = 613689280 / 4

LCM(844,976,745) = 153422320

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 21/844, 885/976, 514/745

1. What is the HCF of 21,885,514?

The HCF of 21,885,514 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 21/844, 885/976, 514/745?

Answer: GCF of Numerators as per given numbers 21/844, 885/976, 514/745 is

GCF of Numerators i.e. for 21,885,514 is 1

LCM of denominators i.e. for 844,976,745 is 153422320.

Thus, GCF of Fractions is 1/153422320.Finally, GCF of Fractions for 21/844, 885/976, 514/745 is 1/153422320.