How to Find GCF of 4487/363, 3497/3551?

GCF of 4487/363, 3497/3551

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 4487/363, 3497/3551 i.e 1/1289013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4487/363, 3497/3551.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4487/363,3497/3551?

Given fractions are 4487/363,3497/3551

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 4487/363,3497/3551, numerators are 4487,3497

Denominators are 363,3551

The GCF of 4487,3497 is 1 .

LCM of 363,3551 is 1289013.

The greatest common factor of 4487/363,3497/3551 = [GCF of 4487,3497]/[LCM of 363,3551]= 1/1289013

Therefore, the GCF of 4487/363,3497/3551 is 1/1289013.

Greatest Common Factor of 4487,3497

To find the highest common factor of 4487,3497, we have to find the factors of both numbers and list the highest common factor.

The factors of 4487 are 1, 7, 641, 4487

The factors of 3497 are 1, 13, 269, 3497

The HCF of 4487,3497 is 1.

Lets's calculate GCF of 4487,3497

Greatest Common Factor (GCF) of 4487,3497 By Common Division

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

Greatest Common Factor of 4487,3497 By Matching Biggest Common Factor Method

Now, list down the factors of 4487

1,7,641,4487

Now, list down the factors of 3497

1,13,269,3497

Greatest Common Factor

We found the factors 4487,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 4487,3497 is 1.

Lets's calculate LCM of 363,3551

Lowest Common Multiple of 363,3551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1289013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1289013

Therefore, the GCF of Fractions 4487/363,3497/3551 is 1/1289013

Least Common Multiple of 363,3551 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 363,3551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,3551) = 1

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

GCF(363,3551) x common factors =1 x 1 = 1

LCM(363,3551) = ( 363 × 3551 ) / 1

LCM(363,3551) = 1289013 / 1

LCM(363,3551) = 1289013

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FAQs on GCF of Fractions of 4487/363, 3497/3551

1. What is the HCF of 4487,3497?

The HCF of 4487,3497 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 4487/363, 3497/3551?

Answer: GCF of Numerators as per given numbers 4487/363, 3497/3551 is

GCF of Numerators i.e. for 4487,3497 is 1

LCM of denominators i.e. for 363,3551 is 1289013.

Thus, GCF of Fractions is 1/1289013.Finally, GCF of Fractions for 4487/363, 3497/3551 is 1/1289013.