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GCF of 8121/668, 1623/208

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 8121/668, 1623/208 i.e 3/34736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8121/668, 1623/208.

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 8121/668,1623/208?

Given fractions are 8121/668,1623/208

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 8121/668,1623/208, numerators are 8121,1623

Denominators are 668,208

The GCF of 8121,1623 is 3 .

LCM of 668,208 is 34736.

The greatest common factor of 8121/668,1623/208 = [GCF of 8121,1623]/[LCM of 668,208]= 3/34736

Therefore, the GCF of 8121/668,1623/208 is 3/34736.

Greatest Common Factor of 8121,1623

To find the highest common factor of 8121,1623, we have to find the factors of both numbers and list the highest common factor.

The factors of 8121 are 1, 3, 2707, 8121

The factors of 1623 are 1, 3, 541, 1623

The HCF of 8121,1623 is 3.

Lets's calculate GCF of 8121,1623

Greatest Common Factor (GCF) of 8121,1623 By Common Division

3 8121, 1623
2707, 541

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8121,1623 By Matching Biggest Common Factor Method

Greatest Common Factor of 8121,1623 By Matching Biggest Common Factor Method

Now, list down the factors of 8121

:

1,3,2707,8121

Now, list down the factors of 1623

:

1,3,541,1623

Greatest Common Factor

We found the factors 8121,1623 . The biggest common factor number is the GCF number.
So the greatest common factor 8121,1623 is 3.

Lets's calculate LCM of 668,208

Lowest Common Multiple of 668,208 using Common Division

2 668, 208
2 334, 104
167, 52

∴ So the LCM of the given numbers is 2 x 2 x 167 x 52 = 34736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34736

Therefore, the GCF of Fractions 8121/668,1623/208 is 3/34736

Least Common Multiple of 668,208 with GCF Formula

Least Common Multiple of 668,208 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 668,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,208) = 4

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

GCF(668,208) x common factors =4 x 1 = 4

LCM(668,208) = ( 668 × 208 ) / 4

LCM(668,208) = 138944 / 4

LCM(668,208) = 34736


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FAQs on GCF of Fractions of 8121/668, 1623/208

1. What is the HCF of 8121,1623?

The HCF of 8121,1623 is 3

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 8121/668, 1623/208?

Answer: GCF of Numerators as per given numbers 8121/668, 1623/208 is

GCF of Numerators i.e. for 8121,1623 is 3

LCM of denominators i.e. for 668,208 is 34736.

Thus, GCF of Fractions is 3/34736.Finally, GCF of Fractions for 8121/668, 1623/208 is 3/34736.