How to Find GCF of 21/780, 40/608, 366/884?

GCF of 21/780, 40/608, 366/884

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 21/780, 40/608, 366/884 i.e 1/2015520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/780, 40/608, 366/884.

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 21/780,40/608,366/884?

Given fractions are 21/780,40/608,366/884

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 21/780,40/608,366/884, numerators are 21,40,366

Denominators are 780,608,884

The GCF of 21,40,366 is 1 .

LCM of 780,608,884 is 2015520.

The greatest common factor of 21/780,40/608,366/884 = [GCF of 21,40,366]/[LCM of 780,608,884]= 1/2015520

Therefore, the GCF of 21/780,40/608,366/884 is 1/2015520.

Greatest Common Factor of 21,40,366

To find the highest common factor of 21,40,366, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366

The HCF of 21,40,366 is 1.

Lets's calculate GCF of 21,40,366

Greatest Common Factor (GCF) of 21,40,366 By Common Division

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

Greatest Common Factor of 21,40,366 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 366

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 21,40,366 . The biggest common factor number is the GCF number.
So the greatest common factor 21,40,366 is 1.

Lets's calculate LCM of 780,608,884

Lowest Common Multiple of 780,608,884 using Common Division

2	780, 608, 884
2	390, 304, 442
13	195, 152, 221
	15, 152, 17

∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 152 x 17 = 2015520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2015520

Therefore, the GCF of Fractions 21/780,40/608,366/884 is 1/2015520

Least Common Multiple of 780,608,884 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 780,608,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,608,884) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(780,608,884) x common factors =4 x 52 = 208

LCM(780,608,884) = ( 780 × 608 × 884 ) / 208

LCM(780,608,884) = 419228160 / 208

LCM(780,608,884) = 2015520

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 21/780, 40/608, 366/884

1. What is the HCF of 21,40,366?

The HCF of 21,40,366 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 21/780, 40/608, 366/884?

Answer: GCF of Numerators as per given numbers 21/780, 40/608, 366/884 is

GCF of Numerators i.e. for 21,40,366 is 1

LCM of denominators i.e. for 780,608,884 is 2015520.

Thus, GCF of Fractions is 1/2015520.Finally, GCF of Fractions for 21/780, 40/608, 366/884 is 1/2015520.