How to Find GCF of 810/156, 232/796?

GCF of 810/156, 232/796

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 810/156, 232/796 i.e 2/31044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/156, 232/796.

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 810/156,232/796?

Given fractions are 810/156,232/796

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 810/156,232/796, numerators are 810,232

Denominators are 156,796

The GCF of 810,232 is 2 .

LCM of 156,796 is 31044.

The greatest common factor of 810/156,232/796 = [GCF of 810,232]/[LCM of 156,796]= 2/31044

Therefore, the GCF of 810/156,232/796 is 2/31044.

Greatest Common Factor of 810,232

To find the highest common factor of 810,232, we have to find the factors of both numbers and list the highest common factor.

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 factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 810,232 is 2.

Lets's calculate GCF of 810,232

Greatest Common Factor (GCF) of 810,232 By Common Division

2	810, 232
	405, 116

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

Greatest Common Factor of 810,232 By Matching Biggest Common Factor Method

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

Now, list down the factors of 232

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 810,232 . The biggest common factor number is the GCF number.
So the greatest common factor 810,232 is 2.

Lets's calculate LCM of 156,796

Lowest Common Multiple of 156,796 using Common Division

2	156, 796
2	78, 398
	39, 199

∴ So the LCM of the given numbers is 2 x 2 x 39 x 199 = 31044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31044

Therefore, the GCF of Fractions 810/156,232/796 is 2/31044

Least Common Multiple of 156,796 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 156,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,796) = 4

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

GCF(156,796) x common factors =4 x 1 = 4

LCM(156,796) = ( 156 × 796 ) / 4

LCM(156,796) = 124176 / 4

LCM(156,796) = 31044

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 810/156, 232/796

1. What is the HCF of 810,232?

The HCF of 810,232 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 810/156, 232/796?

Answer: GCF of Numerators as per given numbers 810/156, 232/796 is

GCF of Numerators i.e. for 810,232 is 2

LCM of denominators i.e. for 156,796 is 31044.

Thus, GCF of Fractions is 2/31044.Finally, GCF of Fractions for 810/156, 232/796 is 2/31044.