How to Find GCF of 169/80, 812/1032?

GCF of 169/80, 812/1032

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 169/80, 812/1032 i.e 1/10320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/80, 812/1032.

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 169/80,812/1032?

Given fractions are 169/80,812/1032

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 169/80,812/1032, numerators are 169,812

Denominators are 80,1032

The GCF of 169,812 is 1 .

LCM of 80,1032 is 10320.

The greatest common factor of 169/80,812/1032 = [GCF of 169,812]/[LCM of 80,1032]= 1/10320

Therefore, the GCF of 169/80,812/1032 is 1/10320.

Greatest Common Factor of 169,812

To find the highest common factor of 169,812, we have to find the factors of both numbers and list the highest common factor.

The factors of 169 are 1, 13, 169

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The HCF of 169,812 is 1.

Lets's calculate GCF of 169,812

Greatest Common Factor (GCF) of 169,812 By Common Division

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

Greatest Common Factor of 169,812 By Matching Biggest Common Factor Method

Now, list down the factors of 169

1,13,169

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 169,812 . The biggest common factor number is the GCF number.
So the greatest common factor 169,812 is 1.

Lets's calculate LCM of 80,1032

Lowest Common Multiple of 80,1032 using Common Division

2	80, 1032
2	40, 516
2	20, 258
	10, 129

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 129 = 10320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10320

Therefore, the GCF of Fractions 169/80,812/1032 is 1/10320

Least Common Multiple of 80,1032 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 80,1032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,1032) = 8

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

GCF(80,1032) x common factors =8 x 1 = 8

LCM(80,1032) = ( 80 × 1032 ) / 8

LCM(80,1032) = 82560 / 8

LCM(80,1032) = 10320

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 169/80, 812/1032

1. What is the HCF of 169,812?

The HCF of 169,812 is 1

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 169/80, 812/1032?

Answer: GCF of Numerators as per given numbers 169/80, 812/1032 is

GCF of Numerators i.e. for 169,812 is 1

LCM of denominators i.e. for 80,1032 is 10320.

Thus, GCF of Fractions is 1/10320.Finally, GCF of Fractions for 169/80, 812/1032 is 1/10320.