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GCF of 441/687, 2485/604

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 441/687, 2485/604 i.e 7/414948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/687, 2485/604.

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 441/687,2485/604?

Given fractions are 441/687,2485/604

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 441/687,2485/604, numerators are 441,2485

Denominators are 687,604

The GCF of 441,2485 is 7 .

LCM of 687,604 is 414948.

The greatest common factor of 441/687,2485/604 = [GCF of 441,2485]/[LCM of 687,604]= 7/414948

Therefore, the GCF of 441/687,2485/604 is 7/414948.

Greatest Common Factor of 441,2485

To find the highest common factor of 441,2485, we have to find the factors of both numbers and list the highest common factor.

The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441

The factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485

The HCF of 441,2485 is 7.

Lets's calculate GCF of 441,2485

Greatest Common Factor (GCF) of 441,2485 By Common Division

7 441, 2485
63, 355

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 441,2485 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,2485 By Matching Biggest Common Factor Method

Now, list down the factors of 441

:

1,3,7,9,21,49,63,147,441

Now, list down the factors of 2485

:

1,5,7,35,71,355,497,2485

Greatest Common Factor

We found the factors 441,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 441,2485 is 7.

Lets's calculate LCM of 687,604

Lowest Common Multiple of 687,604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 414948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/414948

Therefore, the GCF of Fractions 441/687,2485/604 is 7/414948

Least Common Multiple of 687,604 with GCF Formula

Least Common Multiple of 687,604 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 687,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,604) = 1

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

GCF(687,604) x common factors =1 x 1 = 1

LCM(687,604) = ( 687 × 604 ) / 1

LCM(687,604) = 414948 / 1

LCM(687,604) = 414948


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FAQs on GCF of Fractions of 441/687, 2485/604

1. What is the HCF of 441,2485?

The HCF of 441,2485 is 7

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 441/687, 2485/604?

Answer: GCF of Numerators as per given numbers 441/687, 2485/604 is

GCF of Numerators i.e. for 441,2485 is 7

LCM of denominators i.e. for 687,604 is 414948.

Thus, GCF of Fractions is 7/414948.Finally, GCF of Fractions for 441/687, 2485/604 is 7/414948.