How to Find GCF of 5325/334, 1741/626?

GCF of 5325/334, 1741/626

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 5325/334, 1741/626 i.e 1/104542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5325/334, 1741/626.

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 5325/334,1741/626?

Given fractions are 5325/334,1741/626

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 5325/334,1741/626, numerators are 5325,1741

Denominators are 334,626

The GCF of 5325,1741 is 1 .

LCM of 334,626 is 104542.

The greatest common factor of 5325/334,1741/626 = [GCF of 5325,1741]/[LCM of 334,626]= 1/104542

Therefore, the GCF of 5325/334,1741/626 is 1/104542.

Greatest Common Factor of 5325,1741

To find the highest common factor of 5325,1741, we have to find the factors of both numbers and list the highest common factor.

The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325

The factors of 1741 are 1, 1741

The HCF of 5325,1741 is 1.

Lets's calculate GCF of 5325,1741

Greatest Common Factor (GCF) of 5325,1741 By Common Division

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

Greatest Common Factor of 5325,1741 By Matching Biggest Common Factor Method

Now, list down the factors of 5325

1,3,5,15,25,71,75,213,355,1065,1775,5325

Now, list down the factors of 1741

1,1741

Greatest Common Factor

We found the factors 5325,1741 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,1741 is 1.

Lets's calculate LCM of 334,626

Lowest Common Multiple of 334,626 using Common Division

2	334, 626
	167, 313

∴ So the LCM of the given numbers is 2 x 167 x 313 = 104542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104542

Therefore, the GCF of Fractions 5325/334,1741/626 is 1/104542

Least Common Multiple of 334,626 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 334,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,626) = 2

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

GCF(334,626) x common factors =2 x 1 = 2

LCM(334,626) = ( 334 × 626 ) / 2

LCM(334,626) = 209084 / 2

LCM(334,626) = 104542

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5325/334, 1741/626

1. What is the HCF of 5325,1741?

The HCF of 5325,1741 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 5325/334, 1741/626?

Answer: GCF of Numerators as per given numbers 5325/334, 1741/626 is

GCF of Numerators i.e. for 5325,1741 is 1

LCM of denominators i.e. for 334,626 is 104542.

Thus, GCF of Fractions is 1/104542.Finally, GCF of Fractions for 5325/334, 1741/626 is 1/104542.