How to Find GCF of 26/125, 1625/3413?

GCF of 26/125, 1625/3413

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 26/125, 1625/3413 i.e 13/426625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/125, 1625/3413.

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 26/125,1625/3413?

Given fractions are 26/125,1625/3413

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 26/125,1625/3413, numerators are 26,1625

Denominators are 125,3413

The GCF of 26,1625 is 13 .

LCM of 125,3413 is 426625.

The greatest common factor of 26/125,1625/3413 = [GCF of 26,1625]/[LCM of 125,3413]= 13/426625

Therefore, the GCF of 26/125,1625/3413 is 13/426625.

Greatest Common Factor of 26,1625

To find the highest common factor of 26,1625, we have to find the factors of both numbers and list the highest common factor.

The factors of 26 are 1, 2, 13, 26

The factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625

The HCF of 26,1625 is 13.

Lets's calculate GCF of 26,1625

Greatest Common Factor (GCF) of 26,1625 By Common Division

13	26, 1625
	2, 125

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

Greatest Common Factor of 26,1625 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 1625

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors 26,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 26,1625 is 13.

Lets's calculate LCM of 125,3413

Lowest Common Multiple of 125,3413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 426625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/426625

Therefore, the GCF of Fractions 26/125,1625/3413 is 13/426625

Least Common Multiple of 125,3413 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 125,3413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,3413) = 1

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

GCF(125,3413) x common factors =1 x 1 = 1

LCM(125,3413) = ( 125 × 3413 ) / 1

LCM(125,3413) = 426625 / 1

LCM(125,3413) = 426625

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FAQs on GCF of Fractions of 26/125, 1625/3413

1. What is the HCF of 26,1625?

The HCF of 26,1625 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 26/125, 1625/3413?

Answer: GCF of Numerators as per given numbers 26/125, 1625/3413 is

GCF of Numerators i.e. for 26,1625 is 13

LCM of denominators i.e. for 125,3413 is 426625.

Thus, GCF of Fractions is 13/426625.Finally, GCF of Fractions for 26/125, 1625/3413 is 13/426625.