How to Find GCF of 9159/784, 3782/852?

GCF of 9159/784, 3782/852

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 9159/784, 3782/852 i.e 1/166992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9159/784, 3782/852.

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 9159/784,3782/852?

Given fractions are 9159/784,3782/852

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 9159/784,3782/852, numerators are 9159,3782

Denominators are 784,852

The GCF of 9159,3782 is 1 .

LCM of 784,852 is 166992.

The greatest common factor of 9159/784,3782/852 = [GCF of 9159,3782]/[LCM of 784,852]= 1/166992

Therefore, the GCF of 9159/784,3782/852 is 1/166992.

Greatest Common Factor of 9159,3782

To find the highest common factor of 9159,3782, we have to find the factors of both numbers and list the highest common factor.

The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159

The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782

The HCF of 9159,3782 is 1.

Lets's calculate GCF of 9159,3782

Greatest Common Factor (GCF) of 9159,3782 By Common Division

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

Greatest Common Factor of 9159,3782 By Matching Biggest Common Factor Method

Now, list down the factors of 9159

1,3,43,71,129,213,3053,9159

Now, list down the factors of 3782

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 9159,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 9159,3782 is 1.

Lets's calculate LCM of 784,852

Lowest Common Multiple of 784,852 using Common Division

2	784, 852
2	392, 426
	196, 213

∴ So the LCM of the given numbers is 2 x 2 x 196 x 213 = 166992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166992

Therefore, the GCF of Fractions 9159/784,3782/852 is 1/166992

Least Common Multiple of 784,852 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 784,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,852) = 4

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

GCF(784,852) x common factors =4 x 1 = 4

LCM(784,852) = ( 784 × 852 ) / 4

LCM(784,852) = 667968 / 4

LCM(784,852) = 166992

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9159/784, 3782/852

1. What is the HCF of 9159,3782?

The HCF of 9159,3782 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 9159/784, 3782/852?

Answer: GCF of Numerators as per given numbers 9159/784, 3782/852 is

GCF of Numerators i.e. for 9159,3782 is 1

LCM of denominators i.e. for 784,852 is 166992.

Thus, GCF of Fractions is 1/166992.Finally, GCF of Fractions for 9159/784, 3782/852 is 1/166992.