How to Find GCF of 9064/614, 5962/8591?

GCF of 9064/614, 5962/8591

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 9064/614, 5962/8591 i.e 22/5274874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9064/614, 5962/8591.

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 9064/614,5962/8591?

Given fractions are 9064/614,5962/8591

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 9064/614,5962/8591, numerators are 9064,5962

Denominators are 614,8591

The GCF of 9064,5962 is 22 .

LCM of 614,8591 is 5274874.

The greatest common factor of 9064/614,5962/8591 = [GCF of 9064,5962]/[LCM of 614,8591]= 22/5274874

Therefore, the GCF of 9064/614,5962/8591 is 22/5274874.

Greatest Common Factor of 9064,5962

To find the highest common factor of 9064,5962, we have to find the factors of both numbers and list the highest common factor.

The factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064

The factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962

The HCF of 9064,5962 is 22.

Lets's calculate GCF of 9064,5962

Greatest Common Factor (GCF) of 9064,5962 By Common Division

2	9064, 5962
11	4532, 2981
	412, 271

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 9064,5962 By Matching Biggest Common Factor Method

Now, list down the factors of 9064

1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064

Now, list down the factors of 5962

1,2,11,22,271,542,2981,5962

Greatest Common Factor

We found the factors 9064,5962 . The biggest common factor number is the GCF number.
So the greatest common factor 9064,5962 is 22.

Lets's calculate LCM of 614,8591

Lowest Common Multiple of 614,8591 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5274874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/5274874

Therefore, the GCF of Fractions 9064/614,5962/8591 is 22/5274874

Least Common Multiple of 614,8591 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 614,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,8591) = 1

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

GCF(614,8591) x common factors =1 x 1 = 1

LCM(614,8591) = ( 614 × 8591 ) / 1

LCM(614,8591) = 5274874 / 1

LCM(614,8591) = 5274874

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9064/614, 5962/8591

1. What is the HCF of 9064,5962?

The HCF of 9064,5962 is 22

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 9064/614, 5962/8591?

Answer: GCF of Numerators as per given numbers 9064/614, 5962/8591 is

GCF of Numerators i.e. for 9064,5962 is 22

LCM of denominators i.e. for 614,8591 is 5274874.

Thus, GCF of Fractions is 22/5274874.Finally, GCF of Fractions for 9064/614, 5962/8591 is 22/5274874.