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GCF of 725/23, 401/825

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 725/23, 401/825 i.e 1/18975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/23, 401/825.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 725/23,401/825?

Given fractions are 725/23,401/825

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 725/23,401/825, numerators are 725,401

Denominators are 23,825

The GCF of 725,401 is 1 .

LCM of 23,825 is 18975.

The greatest common factor of 725/23,401/825 = [GCF of 725,401]/[LCM of 23,825]= 1/18975

Therefore, the GCF of 725/23,401/825 is 1/18975.

Greatest Common Factor of 725,401

To find the highest common factor of 725,401, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 401 are 1, 401

The HCF of 725,401 is 1.

Lets's calculate GCF of 725,401

Greatest Common Factor (GCF) of 725,401 By Common Division

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

Greatest Common Factor of 725,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,401 By Matching Biggest Common Factor Method

Now, list down the factors of 725

:

1,5,25,29,145,725

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 725,401 . The biggest common factor number is the GCF number.
So the greatest common factor 725,401 is 1.

Lets's calculate LCM of 23,825

Lowest Common Multiple of 23,825 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 18975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18975

Therefore, the GCF of Fractions 725/23,401/825 is 1/18975

Least Common Multiple of 23,825 with GCF Formula

Least Common Multiple of 23,825 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,825) = 1

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

GCF(23,825) x common factors =1 x 1 = 1

LCM(23,825) = ( 23 × 825 ) / 1

LCM(23,825) = 18975 / 1

LCM(23,825) = 18975


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FAQs on GCF of Fractions of 725/23, 401/825

1. What is the HCF of 725,401?

The HCF of 725,401 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 725/23, 401/825?

Answer: GCF of Numerators as per given numbers 725/23, 401/825 is

GCF of Numerators i.e. for 725,401 is 1

LCM of denominators i.e. for 23,825 is 18975.

Thus, GCF of Fractions is 1/18975.Finally, GCF of Fractions for 725/23, 401/825 is 1/18975.