How to Find GCF of 3247/208, 5415/441?

GCF of 3247/208, 5415/441

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 3247/208, 5415/441 i.e 1/91728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3247/208, 5415/441.

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 3247/208,5415/441?

Given fractions are 3247/208,5415/441

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 3247/208,5415/441, numerators are 3247,5415

Denominators are 208,441

The GCF of 3247,5415 is 1 .

LCM of 208,441 is 91728.

The greatest common factor of 3247/208,5415/441 = [GCF of 3247,5415]/[LCM of 208,441]= 1/91728

Therefore, the GCF of 3247/208,5415/441 is 1/91728.

Greatest Common Factor of 3247,5415

To find the highest common factor of 3247,5415, we have to find the factors of both numbers and list the highest common factor.

The factors of 3247 are 1, 17, 191, 3247

The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

The HCF of 3247,5415 is 1.

Lets's calculate GCF of 3247,5415

Greatest Common Factor (GCF) of 3247,5415 By Common Division

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

Greatest Common Factor of 3247,5415 By Matching Biggest Common Factor Method

Now, list down the factors of 3247

1,17,191,3247

Now, list down the factors of 5415

1,3,5,15,19,57,95,285,361,1083,1805,5415

Greatest Common Factor

We found the factors 3247,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 3247,5415 is 1.

Lets's calculate LCM of 208,441

Lowest Common Multiple of 208,441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91728

Therefore, the GCF of Fractions 3247/208,5415/441 is 1/91728

Least Common Multiple of 208,441 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 208,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,441) = 1

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

GCF(208,441) x common factors =1 x 1 = 1

LCM(208,441) = ( 208 × 441 ) / 1

LCM(208,441) = 91728 / 1

LCM(208,441) = 91728

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FAQs on GCF of Fractions of 3247/208, 5415/441

1. What is the HCF of 3247,5415?

The HCF of 3247,5415 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 3247/208, 5415/441?

Answer: GCF of Numerators as per given numbers 3247/208, 5415/441 is

GCF of Numerators i.e. for 3247,5415 is 1

LCM of denominators i.e. for 208,441 is 91728.

Thus, GCF of Fractions is 1/91728.Finally, GCF of Fractions for 3247/208, 5415/441 is 1/91728.