How to Find GCF of 182/631, 810/851?

GCF of 182/631, 810/851

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 182/631, 810/851 i.e 2/536981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/631, 810/851.

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 182/631,810/851?

Given fractions are 182/631,810/851

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 182/631,810/851, numerators are 182,810

Denominators are 631,851

The GCF of 182,810 is 2 .

LCM of 631,851 is 536981.

The greatest common factor of 182/631,810/851 = [GCF of 182,810]/[LCM of 631,851]= 2/536981

Therefore, the GCF of 182/631,810/851 is 2/536981.

Greatest Common Factor of 182,810

To find the highest common factor of 182,810, we have to find the factors of both numbers and list the highest common factor.

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

The HCF of 182,810 is 2.

Lets's calculate GCF of 182,810

Greatest Common Factor (GCF) of 182,810 By Common Division

2	182, 810
	91, 405

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 182,810 By Matching Biggest Common Factor Method

Now, list down the factors of 182

1,2,7,13,14,26,91,182

Now, list down the factors of 810

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 182,810 . The biggest common factor number is the GCF number.
So the greatest common factor 182,810 is 2.

Lets's calculate LCM of 631,851

Lowest Common Multiple of 631,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 536981

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/536981

Therefore, the GCF of Fractions 182/631,810/851 is 2/536981

Least Common Multiple of 631,851 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 631,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,851) = 1

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

GCF(631,851) x common factors =1 x 1 = 1

LCM(631,851) = ( 631 × 851 ) / 1

LCM(631,851) = 536981 / 1

LCM(631,851) = 536981

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FAQs on GCF of Fractions of 182/631, 810/851

1. What is the HCF of 182,810?

The HCF of 182,810 is 2

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 182/631, 810/851?

Answer: GCF of Numerators as per given numbers 182/631, 810/851 is

GCF of Numerators i.e. for 182,810 is 2

LCM of denominators i.e. for 631,851 is 536981.

Thus, GCF of Fractions is 2/536981.Finally, GCF of Fractions for 182/631, 810/851 is 2/536981.