How to Find GCF of 5959/928, 2293/6106?

GCF of 5959/928, 2293/6106

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 5959/928, 2293/6106 i.e 1/2833184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/928, 2293/6106.

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 5959/928,2293/6106?

Given fractions are 5959/928,2293/6106

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 5959/928,2293/6106, numerators are 5959,2293

Denominators are 928,6106

The GCF of 5959,2293 is 1 .

LCM of 928,6106 is 2833184.

The greatest common factor of 5959/928,2293/6106 = [GCF of 5959,2293]/[LCM of 928,6106]= 1/2833184

Therefore, the GCF of 5959/928,2293/6106 is 1/2833184.

Greatest Common Factor of 5959,2293

To find the highest common factor of 5959,2293, we have to find the factors of both numbers and list the highest common factor.

The factors of 5959 are 1, 59, 101, 5959

The factors of 2293 are 1, 2293

The HCF of 5959,2293 is 1.

Lets's calculate GCF of 5959,2293

Greatest Common Factor (GCF) of 5959,2293 By Common Division

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

Greatest Common Factor of 5959,2293 By Matching Biggest Common Factor Method

Now, list down the factors of 5959

1,59,101,5959

Now, list down the factors of 2293

1,2293

Greatest Common Factor

We found the factors 5959,2293 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,2293 is 1.

Lets's calculate LCM of 928,6106

Lowest Common Multiple of 928,6106 using Common Division

2	928, 6106
	464, 3053

∴ So the LCM of the given numbers is 2 x 464 x 3053 = 2833184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2833184

Therefore, the GCF of Fractions 5959/928,2293/6106 is 1/2833184

Least Common Multiple of 928,6106 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 928,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,6106) = 2

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

GCF(928,6106) x common factors =2 x 1 = 2

LCM(928,6106) = ( 928 × 6106 ) / 2

LCM(928,6106) = 5666368 / 2

LCM(928,6106) = 2833184

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FAQs on GCF of Fractions of 5959/928, 2293/6106

1. What is the HCF of 5959,2293?

The HCF of 5959,2293 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 5959/928, 2293/6106?

Answer: GCF of Numerators as per given numbers 5959/928, 2293/6106 is

GCF of Numerators i.e. for 5959,2293 is 1

LCM of denominators i.e. for 928,6106 is 2833184.

Thus, GCF of Fractions is 1/2833184.Finally, GCF of Fractions for 5959/928, 2293/6106 is 1/2833184.