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GCF of 3613/488, 1415/9285

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 3613/488, 1415/9285 i.e 1/4531080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3613/488, 1415/9285.

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 3613/488,1415/9285?

Given fractions are 3613/488,1415/9285

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 3613/488,1415/9285, numerators are 3613,1415

Denominators are 488,9285

The GCF of 3613,1415 is 1 .

LCM of 488,9285 is 4531080.

The greatest common factor of 3613/488,1415/9285 = [GCF of 3613,1415]/[LCM of 488,9285]= 1/4531080

Therefore, the GCF of 3613/488,1415/9285 is 1/4531080.

Greatest Common Factor of 3613,1415

To find the highest common factor of 3613,1415, we have to find the factors of both numbers and list the highest common factor.

The factors of 3613 are 1, 3613

The factors of 1415 are 1, 5, 283, 1415

The HCF of 3613,1415 is 1.

Lets's calculate GCF of 3613,1415

Greatest Common Factor (GCF) of 3613,1415 By Common Division

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

Greatest Common Factor of 3613,1415 By Matching Biggest Common Factor Method

Greatest Common Factor of 3613,1415 By Matching Biggest Common Factor Method

Now, list down the factors of 3613

:

1,3613

Now, list down the factors of 1415

:

1,5,283,1415

Greatest Common Factor

We found the factors 3613,1415 . The biggest common factor number is the GCF number.
So the greatest common factor 3613,1415 is 1.

Lets's calculate LCM of 488,9285

Lowest Common Multiple of 488,9285 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4531080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4531080

Therefore, the GCF of Fractions 3613/488,1415/9285 is 1/4531080

Least Common Multiple of 488,9285 with GCF Formula

Least Common Multiple of 488,9285 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 488,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,9285) = 1

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

GCF(488,9285) x common factors =1 x 1 = 1

LCM(488,9285) = ( 488 × 9285 ) / 1

LCM(488,9285) = 4531080 / 1

LCM(488,9285) = 4531080


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FAQs on GCF of Fractions of 3613/488, 1415/9285

1. What is the HCF of 3613,1415?

The HCF of 3613,1415 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 3613/488, 1415/9285?

Answer: GCF of Numerators as per given numbers 3613/488, 1415/9285 is

GCF of Numerators i.e. for 3613,1415 is 1

LCM of denominators i.e. for 488,9285 is 4531080.

Thus, GCF of Fractions is 1/4531080.Finally, GCF of Fractions for 3613/488, 1415/9285 is 1/4531080.