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GCF of 625/96, 404/2809

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 625/96, 404/2809 i.e 1/269664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/96, 404/2809.

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 625/96,404/2809?

Given fractions are 625/96,404/2809

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 625/96,404/2809, numerators are 625,404

Denominators are 96,2809

The GCF of 625,404 is 1 .

LCM of 96,2809 is 269664.

The greatest common factor of 625/96,404/2809 = [GCF of 625,404]/[LCM of 96,2809]= 1/269664

Therefore, the GCF of 625/96,404/2809 is 1/269664.

Greatest Common Factor of 625,404

To find the highest common factor of 625,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 625 are 1, 5, 25, 125, 625

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

The HCF of 625,404 is 1.

Lets's calculate GCF of 625,404

Greatest Common Factor (GCF) of 625,404 By Common Division

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

Greatest Common Factor of 625,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,404 By Matching Biggest Common Factor Method

Now, list down the factors of 625

:

1,5,25,125,625

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 625,404 . The biggest common factor number is the GCF number.
So the greatest common factor 625,404 is 1.

Lets's calculate LCM of 96,2809

Lowest Common Multiple of 96,2809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 269664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269664

Therefore, the GCF of Fractions 625/96,404/2809 is 1/269664

Least Common Multiple of 96,2809 with GCF Formula

Least Common Multiple of 96,2809 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 96,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,2809) = 1

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

GCF(96,2809) x common factors =1 x 1 = 1

LCM(96,2809) = ( 96 × 2809 ) / 1

LCM(96,2809) = 269664 / 1

LCM(96,2809) = 269664


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FAQs on GCF of Fractions of 625/96, 404/2809

1. What is the HCF of 625,404?

The HCF of 625,404 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 625/96, 404/2809?

Answer: GCF of Numerators as per given numbers 625/96, 404/2809 is

GCF of Numerators i.e. for 625,404 is 1

LCM of denominators i.e. for 96,2809 is 269664.

Thus, GCF of Fractions is 1/269664.Finally, GCF of Fractions for 625/96, 404/2809 is 1/269664.