How to Find GCF of 9056/919, 5392/608?

GCF of 9056/919, 5392/608

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 9056/919, 5392/608 i.e 16/558752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9056/919, 5392/608.

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 9056/919,5392/608?

Given fractions are 9056/919,5392/608

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 9056/919,5392/608, numerators are 9056,5392

Denominators are 919,608

The GCF of 9056,5392 is 16 .

LCM of 919,608 is 558752.

The greatest common factor of 9056/919,5392/608 = [GCF of 9056,5392]/[LCM of 919,608]= 16/558752

Therefore, the GCF of 9056/919,5392/608 is 16/558752.

Greatest Common Factor of 9056,5392

To find the highest common factor of 9056,5392, we have to find the factors of both numbers and list the highest common factor.

The factors of 9056 are 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056

The factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

The HCF of 9056,5392 is 16.

Lets's calculate GCF of 9056,5392

Greatest Common Factor (GCF) of 9056,5392 By Common Division

2	9056, 5392
2	4528, 2696
2	2264, 1348
2	1132, 674
	566, 337

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9056,5392 By Matching Biggest Common Factor Method

Now, list down the factors of 9056

1,2,4,8,16,32,283,566,1132,2264,4528,9056

Now, list down the factors of 5392

1,2,4,8,16,337,674,1348,2696,5392

Greatest Common Factor

We found the factors 9056,5392 . The biggest common factor number is the GCF number.
So the greatest common factor 9056,5392 is 16.

Lets's calculate LCM of 919,608

Lowest Common Multiple of 919,608 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 558752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/558752

Therefore, the GCF of Fractions 9056/919,5392/608 is 16/558752

Least Common Multiple of 919,608 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 919,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,608) = 1

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

GCF(919,608) x common factors =1 x 1 = 1

LCM(919,608) = ( 919 × 608 ) / 1

LCM(919,608) = 558752 / 1

LCM(919,608) = 558752

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9056/919, 5392/608

1. What is the HCF of 9056,5392?

The HCF of 9056,5392 is 16

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 9056/919, 5392/608?

Answer: GCF of Numerators as per given numbers 9056/919, 5392/608 is

GCF of Numerators i.e. for 9056,5392 is 16

LCM of denominators i.e. for 919,608 is 558752.

Thus, GCF of Fractions is 16/558752.Finally, GCF of Fractions for 9056/919, 5392/608 is 16/558752.