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GCF of 3466/208, 8563/6667

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 3466/208, 8563/6667 i.e 1/1386736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3466/208, 8563/6667.

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 3466/208,8563/6667?

Given fractions are 3466/208,8563/6667

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 3466/208,8563/6667, numerators are 3466,8563

Denominators are 208,6667

The GCF of 3466,8563 is 1 .

LCM of 208,6667 is 1386736.

The greatest common factor of 3466/208,8563/6667 = [GCF of 3466,8563]/[LCM of 208,6667]= 1/1386736

Therefore, the GCF of 3466/208,8563/6667 is 1/1386736.

Greatest Common Factor of 3466,8563

To find the highest common factor of 3466,8563, we have to find the factors of both numbers and list the highest common factor.

The factors of 3466 are 1, 2, 1733, 3466

The factors of 8563 are 1, 8563

The HCF of 3466,8563 is 1.

Lets's calculate GCF of 3466,8563

Greatest Common Factor (GCF) of 3466,8563 By Common Division

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

Greatest Common Factor of 3466,8563 By Matching Biggest Common Factor Method

Greatest Common Factor of 3466,8563 By Matching Biggest Common Factor Method

Now, list down the factors of 3466

:

1,2,1733,3466

Now, list down the factors of 8563

:

1,8563

Greatest Common Factor

We found the factors 3466,8563 . The biggest common factor number is the GCF number.
So the greatest common factor 3466,8563 is 1.

Lets's calculate LCM of 208,6667

Lowest Common Multiple of 208,6667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1386736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386736

Therefore, the GCF of Fractions 3466/208,8563/6667 is 1/1386736

Least Common Multiple of 208,6667 with GCF Formula

Least Common Multiple of 208,6667 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 208,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,6667) = 1

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

GCF(208,6667) x common factors =1 x 1 = 1

LCM(208,6667) = ( 208 × 6667 ) / 1

LCM(208,6667) = 1386736 / 1

LCM(208,6667) = 1386736


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FAQs on GCF of Fractions of 3466/208, 8563/6667

1. What is the HCF of 3466,8563?

The HCF of 3466,8563 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 3466/208, 8563/6667?

Answer: GCF of Numerators as per given numbers 3466/208, 8563/6667 is

GCF of Numerators i.e. for 3466,8563 is 1

LCM of denominators i.e. for 208,6667 is 1386736.

Thus, GCF of Fractions is 1/1386736.Finally, GCF of Fractions for 3466/208, 8563/6667 is 1/1386736.