How to Find GCF of 26/669, 13/251, 725/368?

GCF of 26/669, 13/251, 725/368

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 26/669, 13/251, 725/368 i.e 1/61794192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/669, 13/251, 725/368.

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 26/669,13/251,725/368?

Given fractions are 26/669,13/251,725/368

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 26/669,13/251,725/368, numerators are 26,13,725

Denominators are 669,251,368

The GCF of 26,13,725 is 1 .

LCM of 669,251,368 is 61794192.

The greatest common factor of 26/669,13/251,725/368 = [GCF of 26,13,725]/[LCM of 669,251,368]= 1/61794192

Therefore, the GCF of 26/669,13/251,725/368 is 1/61794192.

Greatest Common Factor of 26,13,725

To find the highest common factor of 26,13,725, 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 13 are 1, 13

The factors of 725 are 1, 5, 25, 29, 145, 725

The HCF of 26,13,725 is 1.

Lets's calculate GCF of 26,13,725

Greatest Common Factor (GCF) of 26,13,725 By Common Division

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

Greatest Common Factor of 26,13,725 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 13

1,13

Now, list down the factors of 725

1,5,25,29,145,725

Greatest Common Factor

We found the factors 26,13,725 . The biggest common factor number is the GCF number.
So the greatest common factor 26,13,725 is 1.

Lets's calculate LCM of 669,251,368

Lowest Common Multiple of 669,251,368 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61794192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61794192

Therefore, the GCF of Fractions 26/669,13/251,725/368 is 1/61794192

Least Common Multiple of 669,251,368 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 669,251,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,251,368) = 1

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

GCF(669,251,368) x common factors =1 x 1 = 1

LCM(669,251,368) = ( 669 × 251 × 368 ) / 1

LCM(669,251,368) = 61794192 / 1

LCM(669,251,368) = 61794192

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 26/669, 13/251, 725/368

1. What is the HCF of 26,13,725?

The HCF of 26,13,725 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 26/669, 13/251, 725/368?

Answer: GCF of Numerators as per given numbers 26/669, 13/251, 725/368 is

GCF of Numerators i.e. for 26,13,725 is 1

LCM of denominators i.e. for 669,251,368 is 61794192.

Thus, GCF of Fractions is 1/61794192.Finally, GCF of Fractions for 26/669, 13/251, 725/368 is 1/61794192.