How to Find GCF of 234/626, 325/406?

GCF of 234/626, 325/406

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 234/626, 325/406 i.e 13/127078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 234/626, 325/406.

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 234/626,325/406?

Given fractions are 234/626,325/406

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 234/626,325/406, numerators are 234,325

Denominators are 626,406

The GCF of 234,325 is 13 .

LCM of 626,406 is 127078.

The greatest common factor of 234/626,325/406 = [GCF of 234,325]/[LCM of 626,406]= 13/127078

Therefore, the GCF of 234/626,325/406 is 13/127078.

Greatest Common Factor of 234,325

To find the highest common factor of 234,325, we have to find the factors of both numbers and list the highest common factor.

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The factors of 325 are 1, 5, 13, 25, 65, 325

The HCF of 234,325 is 13.

Lets's calculate GCF of 234,325

Greatest Common Factor (GCF) of 234,325 By Common Division

13	234, 325
	18, 25

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 234,325 By Matching Biggest Common Factor Method

Now, list down the factors of 234

1,2,3,6,9,13,18,26,39,78,117,234

Now, list down the factors of 325

1,5,13,25,65,325

Greatest Common Factor

We found the factors 234,325 . The biggest common factor number is the GCF number.
So the greatest common factor 234,325 is 13.

Lets's calculate LCM of 626,406

Lowest Common Multiple of 626,406 using Common Division

2	626, 406
	313, 203

∴ So the LCM of the given numbers is 2 x 313 x 203 = 127078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/127078

Therefore, the GCF of Fractions 234/626,325/406 is 13/127078

Least Common Multiple of 626,406 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 626,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,406) = 2

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

GCF(626,406) x common factors =2 x 1 = 2

LCM(626,406) = ( 626 × 406 ) / 2

LCM(626,406) = 254156 / 2

LCM(626,406) = 127078

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FAQs on GCF of Fractions of 234/626, 325/406

1. What is the HCF of 234,325?

The HCF of 234,325 is 13

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 234/626, 325/406?

Answer: GCF of Numerators as per given numbers 234/626, 325/406 is

GCF of Numerators i.e. for 234,325 is 13

LCM of denominators i.e. for 626,406 is 127078.

Thus, GCF of Fractions is 13/127078.Finally, GCF of Fractions for 234/626, 325/406 is 13/127078.