How to Find GCF of 20/679, 791/504, 763/800?

GCF of 20/679, 791/504, 763/800

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 20/679, 791/504, 763/800 i.e 1/4888800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/679, 791/504, 763/800.

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 20/679,791/504,763/800?

Given fractions are 20/679,791/504,763/800

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 20/679,791/504,763/800, numerators are 20,791,763

Denominators are 679,504,800

The GCF of 20,791,763 is 1 .

LCM of 679,504,800 is 4888800.

The greatest common factor of 20/679,791/504,763/800 = [GCF of 20,791,763]/[LCM of 679,504,800]= 1/4888800

Therefore, the GCF of 20/679,791/504,763/800 is 1/4888800.

Greatest Common Factor of 20,791,763

To find the highest common factor of 20,791,763, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 791 are 1, 7, 113, 791

The factors of 763 are 1, 7, 109, 763

The HCF of 20,791,763 is 1.

Lets's calculate GCF of 20,791,763

Greatest Common Factor (GCF) of 20,791,763 By Common Division

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

Greatest Common Factor of 20,791,763 By Matching Biggest Common Factor Method

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 791

1,7,113,791

Now, list down the factors of 763

1,7,109,763

Greatest Common Factor

We found the factors 20,791,763 . The biggest common factor number is the GCF number.
So the greatest common factor 20,791,763 is 1.

Lets's calculate LCM of 679,504,800

Lowest Common Multiple of 679,504,800 using Common Division

2	679, 504, 800
2	679, 252, 400
2	679, 126, 200
7	679, 63, 100
	97, 9, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 97 x 9 x 100 = 4888800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4888800

Therefore, the GCF of Fractions 20/679,791/504,763/800 is 1/4888800

Least Common Multiple of 679,504,800 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 679,504,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,504,800) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(679,504,800) x common factors =1 x 56 = 56

LCM(679,504,800) = ( 679 × 504 × 800 ) / 56

LCM(679,504,800) = 273772800 / 56

LCM(679,504,800) = 4888800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 20/679, 791/504, 763/800

1. What is the HCF of 20,791,763?

The HCF of 20,791,763 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 20/679, 791/504, 763/800?

Answer: GCF of Numerators as per given numbers 20/679, 791/504, 763/800 is

GCF of Numerators i.e. for 20,791,763 is 1

LCM of denominators i.e. for 679,504,800 is 4888800.

Thus, GCF of Fractions is 1/4888800.Finally, GCF of Fractions for 20/679, 791/504, 763/800 is 1/4888800.