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GCF of 687/40, 449/1541

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 687/40, 449/1541 i.e 1/61640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/40, 449/1541.

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 687/40,449/1541?

Given fractions are 687/40,449/1541

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 687/40,449/1541, numerators are 687,449

Denominators are 40,1541

The GCF of 687,449 is 1 .

LCM of 40,1541 is 61640.

The greatest common factor of 687/40,449/1541 = [GCF of 687,449]/[LCM of 40,1541]= 1/61640

Therefore, the GCF of 687/40,449/1541 is 1/61640.

Greatest Common Factor of 687,449

To find the highest common factor of 687,449, we have to find the factors of both numbers and list the highest common factor.

The factors of 687 are 1, 3, 229, 687

The factors of 449 are 1, 449

The HCF of 687,449 is 1.

Lets's calculate GCF of 687,449

Greatest Common Factor (GCF) of 687,449 By Common Division

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

Greatest Common Factor of 687,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,449 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 449

:

1,449

Greatest Common Factor

We found the factors 687,449 . The biggest common factor number is the GCF number.
So the greatest common factor 687,449 is 1.

Lets's calculate LCM of 40,1541

Lowest Common Multiple of 40,1541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61640

Therefore, the GCF of Fractions 687/40,449/1541 is 1/61640

Least Common Multiple of 40,1541 with GCF Formula

Least Common Multiple of 40,1541 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 40,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,1541) = 1

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

GCF(40,1541) x common factors =1 x 1 = 1

LCM(40,1541) = ( 40 × 1541 ) / 1

LCM(40,1541) = 61640 / 1

LCM(40,1541) = 61640


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FAQs on GCF of Fractions of 687/40, 449/1541

1. What is the HCF of 687,449?

The HCF of 687,449 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 687/40, 449/1541?

Answer: GCF of Numerators as per given numbers 687/40, 449/1541 is

GCF of Numerators i.e. for 687,449 is 1

LCM of denominators i.e. for 40,1541 is 61640.

Thus, GCF of Fractions is 1/61640.Finally, GCF of Fractions for 687/40, 449/1541 is 1/61640.