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GCF of 3543/211, 8521/3483

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 3543/211, 8521/3483 i.e 1/734913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3543/211, 8521/3483.

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 3543/211,8521/3483?

Given fractions are 3543/211,8521/3483

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 3543/211,8521/3483, numerators are 3543,8521

Denominators are 211,3483

The GCF of 3543,8521 is 1 .

LCM of 211,3483 is 734913.

The greatest common factor of 3543/211,8521/3483 = [GCF of 3543,8521]/[LCM of 211,3483]= 1/734913

Therefore, the GCF of 3543/211,8521/3483 is 1/734913.

Greatest Common Factor of 3543,8521

To find the highest common factor of 3543,8521, we have to find the factors of both numbers and list the highest common factor.

The factors of 3543 are 1, 3, 1181, 3543

The factors of 8521 are 1, 8521

The HCF of 3543,8521 is 1.

Lets's calculate GCF of 3543,8521

Greatest Common Factor (GCF) of 3543,8521 By Common Division

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

Greatest Common Factor of 3543,8521 By Matching Biggest Common Factor Method

Greatest Common Factor of 3543,8521 By Matching Biggest Common Factor Method

Now, list down the factors of 3543

:

1,3,1181,3543

Now, list down the factors of 8521

:

1,8521

Greatest Common Factor

We found the factors 3543,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 3543,8521 is 1.

Lets's calculate LCM of 211,3483

Lowest Common Multiple of 211,3483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 734913

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734913

Therefore, the GCF of Fractions 3543/211,8521/3483 is 1/734913

Least Common Multiple of 211,3483 with GCF Formula

Least Common Multiple of 211,3483 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 211,3483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,3483) = 1

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

GCF(211,3483) x common factors =1 x 1 = 1

LCM(211,3483) = ( 211 × 3483 ) / 1

LCM(211,3483) = 734913 / 1

LCM(211,3483) = 734913


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FAQs on GCF of Fractions of 3543/211, 8521/3483

1. What is the HCF of 3543,8521?

The HCF of 3543,8521 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 3543/211, 8521/3483?

Answer: GCF of Numerators as per given numbers 3543/211, 8521/3483 is

GCF of Numerators i.e. for 3543,8521 is 1

LCM of denominators i.e. for 211,3483 is 734913.

Thus, GCF of Fractions is 1/734913.Finally, GCF of Fractions for 3543/211, 8521/3483 is 1/734913.