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GCF of 739/23, 825/401

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 739/23, 825/401 i.e 1/9223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/23, 825/401.

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 739/23,825/401?

Given fractions are 739/23,825/401

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 739/23,825/401, numerators are 739,825

Denominators are 23,401

The GCF of 739,825 is 1 .

LCM of 23,401 is 9223.

The greatest common factor of 739/23,825/401 = [GCF of 739,825]/[LCM of 23,401]= 1/9223

Therefore, the GCF of 739/23,825/401 is 1/9223.

Greatest Common Factor of 739,825

To find the highest common factor of 739,825, we have to find the factors of both numbers and list the highest common factor.

The factors of 739 are 1, 739

The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

The HCF of 739,825 is 1.

Lets's calculate GCF of 739,825

Greatest Common Factor (GCF) of 739,825 By Common Division

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

Greatest Common Factor of 739,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,825 By Matching Biggest Common Factor Method

Now, list down the factors of 739

:

1,739

Now, list down the factors of 825

:

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 739,825 . The biggest common factor number is the GCF number.
So the greatest common factor 739,825 is 1.

Lets's calculate LCM of 23,401

Lowest Common Multiple of 23,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9223

Therefore, the GCF of Fractions 739/23,825/401 is 1/9223

Least Common Multiple of 23,401 with GCF Formula

Least Common Multiple of 23,401 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 23,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,401) = 1

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

GCF(23,401) x common factors =1 x 1 = 1

LCM(23,401) = ( 23 × 401 ) / 1

LCM(23,401) = 9223 / 1

LCM(23,401) = 9223


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FAQs on GCF of Fractions of 739/23, 825/401

1. What is the HCF of 739,825?

The HCF of 739,825 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 739/23, 825/401?

Answer: GCF of Numerators as per given numbers 739/23, 825/401 is

GCF of Numerators i.e. for 739,825 is 1

LCM of denominators i.e. for 23,401 is 9223.

Thus, GCF of Fractions is 1/9223.Finally, GCF of Fractions for 739/23, 825/401 is 1/9223.