Greatest Common Factor of 882/160, 621/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/160, 621/596

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 882/160,621/596

Given fractions are 882/160,621/596

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 882,621

Greatest Common Factor of Numerators i.e. GCF of 882,621 is 9 .

LCM of Denominators means LCM of 160,596 as per the given fractions.

LCM of 160,596 is 23840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,621

GCF of Fractions 882/160,621/596 is 9/23840

3 882, 621
3 294, 207
98, 69

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 882,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,621 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 882,621 . The biggest common factor number is the GCF number.
So the greatest common factor 882,621 is 9.

Lets's calculate LCM of 160,596

2 160, 596
2 80, 298
40, 149

∴ So the LCM of the given numbers is 2 x 2 x 40 x 149 = 23840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/23840

Therefore, the GCF of Fractions 882/160,621/596 is 9/23840

Least Common Multiple of 160,596 with GCF Formula

Least Common Multiple of 160,596 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 160,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,596) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(160,596) x common factors =4 x 1 = 4

LCM(160,596) = ( 160 × 596 ) / 4

LCM(160,596) = 95360 / 4

LCM(160,596) = 23840


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 882/160, 621/596

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 882/160, 621/596?

Answer: GCF of Numerators as per given numbers 882/160, 621/596 is

GCF of Numerators i.e. for 882,621 is 9

LCM of denominators i.e. for 160,596 is 23840.

Thus, GCF of Fractions is 9/23840.Finally, GCF of Fractions for 882/160, 621/596 is 9/23840.