Greatest Common Factor of 869/803, 478/644, 560/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/803, 478/644, 560/624

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 869/803,478/644,560/624

Given fractions are 869/803,478/644,560/624

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 869,478,560

Greatest Common Factor of Numerators i.e. GCF of 869,478,560 is 1 .

LCM of Denominators means LCM of 803,644,624 as per the given fractions.

LCM of 803,644,624 is 80672592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,478,560

GCF of Fractions 869/803,478/644,560/624 is 1/80672592

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

Greatest Common Factor of 869,478,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,478,560 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 869,478,560 . The biggest common factor number is the GCF number.
So the greatest common factor 869,478,560 is 1.

Lets's calculate LCM of 803,644,624

2 803, 644, 624
2 803, 322, 312
803, 161, 156

∴ So the LCM of the given numbers is 2 x 2 x 803 x 161 x 156 = 80672592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80672592

Therefore, the GCF of Fractions 869/803,478/644,560/624 is 1/80672592

Least Common Multiple of 803,644,624 with GCF Formula

Least Common Multiple of 803,644,624 with GCF Formula

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

We need to calculate greatest common factor of 803,644,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,644,624) = 1

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

GCF(803,644,624) x common factors =1 x 4 = 4

LCM(803,644,624) = ( 803 × 644 × 624 ) / 4

LCM(803,644,624) = 322690368 / 4

LCM(803,644,624) = 80672592


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 869/803, 478/644, 560/624

1. 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.

2. What is the GCF of Fractions for 869/803, 478/644, 560/624?

Answer: GCF of Numerators as per given numbers 869/803, 478/644, 560/624 is

GCF of Numerators i.e. for 869,478,560 is 1

LCM of denominators i.e. for 803,644,624 is 80672592.

Thus, GCF of Fractions is 1/80672592.Finally, GCF of Fractions for 869/803, 478/644, 560/624 is 1/80672592.