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GCF of 872/25, 404/345

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 872/25, 404/345 i.e 4/1725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/25, 404/345.

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 872/25,404/345?

Given fractions are 872/25,404/345

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 872/25,404/345, numerators are 872,404

Denominators are 25,345

The GCF of 872,404 is 4 .

LCM of 25,345 is 1725.

The greatest common factor of 872/25,404/345 = [GCF of 872,404]/[LCM of 25,345]= 4/1725

Therefore, the GCF of 872/25,404/345 is 4/1725.

Greatest Common Factor of 872,404

To find the highest common factor of 872,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 872,404 is 4.

Lets's calculate GCF of 872,404

Greatest Common Factor (GCF) of 872,404 By Common Division

2 872, 404
2 436, 202
218, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 872,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,404 By Matching Biggest Common Factor Method

Now, list down the factors of 872

:

1,2,4,8,109,218,436,872

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 872,404 . The biggest common factor number is the GCF number.
So the greatest common factor 872,404 is 4.

Lets's calculate LCM of 25,345

Lowest Common Multiple of 25,345 using Common Division

5 25, 345
5, 69

∴ So the LCM of the given numbers is 5 x 5 x 69 = 1725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1725

Therefore, the GCF of Fractions 872/25,404/345 is 4/1725

Least Common Multiple of 25,345 with GCF Formula

Least Common Multiple of 25,345 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 25,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,345) = 5

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

GCF(25,345) x common factors =5 x 1 = 5

LCM(25,345) = ( 25 × 345 ) / 5

LCM(25,345) = 8625 / 5

LCM(25,345) = 1725


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FAQs on GCF of Fractions of 872/25, 404/345

1. What is the HCF of 872,404?

The HCF of 872,404 is 4

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 872/25, 404/345?

Answer: GCF of Numerators as per given numbers 872/25, 404/345 is

GCF of Numerators i.e. for 872,404 is 4

LCM of denominators i.e. for 25,345 is 1725.

Thus, GCF of Fractions is 4/1725.Finally, GCF of Fractions for 872/25, 404/345 is 4/1725.