How to Find GCF of 882/500, 606/589?

GCF of 882/500, 606/589

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 882/500, 606/589 i.e 6/294500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 882/500, 606/589.

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 882/500,606/589?

Given fractions are 882/500,606/589

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 882/500,606/589, numerators are 882,606

Denominators are 500,589

The GCF of 882,606 is 6 .

LCM of 500,589 is 294500.

The greatest common factor of 882/500,606/589 = [GCF of 882,606]/[LCM of 500,589]= 6/294500

Therefore, the GCF of 882/500,606/589 is 6/294500.

Greatest Common Factor of 882,606

To find the highest common factor of 882,606, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

The HCF of 882,606 is 6.

Lets's calculate GCF of 882,606

Greatest Common Factor (GCF) of 882,606 By Common Division

2	882, 606
3	441, 303
	147, 101

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 882,606 By Matching Biggest Common Factor Method

Now, list down the factors of 882

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

Now, list down the factors of 606

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 882,606 . The biggest common factor number is the GCF number.
So the greatest common factor 882,606 is 6.

Lets's calculate LCM of 500,589

Lowest Common Multiple of 500,589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 294500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/294500

Therefore, the GCF of Fractions 882/500,606/589 is 6/294500

Least Common Multiple of 500,589 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 500,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,589) = 1

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

GCF(500,589) x common factors =1 x 1 = 1

LCM(500,589) = ( 500 × 589 ) / 1

LCM(500,589) = 294500 / 1

LCM(500,589) = 294500

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FAQs on GCF of Fractions of 882/500, 606/589

1. What is the HCF of 882,606?

The HCF of 882,606 is 6

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 882/500, 606/589?

Answer: GCF of Numerators as per given numbers 882/500, 606/589 is

GCF of Numerators i.e. for 882,606 is 6

LCM of denominators i.e. for 500,589 is 294500.

Thus, GCF of Fractions is 6/294500.Finally, GCF of Fractions for 882/500, 606/589 is 6/294500.