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GCF of 3973/925, 3547/2440

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 3973/925, 3547/2440 i.e 1/451400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3973/925, 3547/2440.

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 3973/925,3547/2440?

Given fractions are 3973/925,3547/2440

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 3973/925,3547/2440, numerators are 3973,3547

Denominators are 925,2440

The GCF of 3973,3547 is 1 .

LCM of 925,2440 is 451400.

The greatest common factor of 3973/925,3547/2440 = [GCF of 3973,3547]/[LCM of 925,2440]= 1/451400

Therefore, the GCF of 3973/925,3547/2440 is 1/451400.

Greatest Common Factor of 3973,3547

To find the highest common factor of 3973,3547, we have to find the factors of both numbers and list the highest common factor.

The factors of 3973 are 1, 29, 137, 3973

The factors of 3547 are 1, 3547

The HCF of 3973,3547 is 1.

Lets's calculate GCF of 3973,3547

Greatest Common Factor (GCF) of 3973,3547 By Common Division

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

Greatest Common Factor of 3973,3547 By Matching Biggest Common Factor Method

Greatest Common Factor of 3973,3547 By Matching Biggest Common Factor Method

Now, list down the factors of 3973

:

1,29,137,3973

Now, list down the factors of 3547

:

1,3547

Greatest Common Factor

We found the factors 3973,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 3973,3547 is 1.

Lets's calculate LCM of 925,2440

Lowest Common Multiple of 925,2440 using Common Division

5 925, 2440
185, 488

∴ So the LCM of the given numbers is 5 x 185 x 488 = 451400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451400

Therefore, the GCF of Fractions 3973/925,3547/2440 is 1/451400

Least Common Multiple of 925,2440 with GCF Formula

Least Common Multiple of 925,2440 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 925,2440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,2440) = 5

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

GCF(925,2440) x common factors =5 x 1 = 5

LCM(925,2440) = ( 925 × 2440 ) / 5

LCM(925,2440) = 2257000 / 5

LCM(925,2440) = 451400


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3973/925, 3547/2440

1. What is the HCF of 3973,3547?

The HCF of 3973,3547 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 3973/925, 3547/2440?

Answer: GCF of Numerators as per given numbers 3973/925, 3547/2440 is

GCF of Numerators i.e. for 3973,3547 is 1

LCM of denominators i.e. for 925,2440 is 451400.

Thus, GCF of Fractions is 1/451400.Finally, GCF of Fractions for 3973/925, 3547/2440 is 1/451400.