How to Find GCF of 8283/144, 6836/3563?

GCF of 8283/144, 6836/3563

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 8283/144, 6836/3563 i.e 1/513072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8283/144, 6836/3563.

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 8283/144,6836/3563?

Given fractions are 8283/144,6836/3563

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 8283/144,6836/3563, numerators are 8283,6836

Denominators are 144,3563

The GCF of 8283,6836 is 1 .

LCM of 144,3563 is 513072.

The greatest common factor of 8283/144,6836/3563 = [GCF of 8283,6836]/[LCM of 144,3563]= 1/513072

Therefore, the GCF of 8283/144,6836/3563 is 1/513072.

Greatest Common Factor of 8283,6836

To find the highest common factor of 8283,6836, we have to find the factors of both numbers and list the highest common factor.

The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283

The factors of 6836 are 1, 2, 4, 1709, 3418, 6836

The HCF of 8283,6836 is 1.

Lets's calculate GCF of 8283,6836

Greatest Common Factor (GCF) of 8283,6836 By Common Division

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

Greatest Common Factor of 8283,6836 By Matching Biggest Common Factor Method

Now, list down the factors of 8283

1,3,11,33,251,753,2761,8283

Now, list down the factors of 6836

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 8283,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 8283,6836 is 1.

Lets's calculate LCM of 144,3563

Lowest Common Multiple of 144,3563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 513072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/513072

Therefore, the GCF of Fractions 8283/144,6836/3563 is 1/513072

Least Common Multiple of 144,3563 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 144,3563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,3563) = 1

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

GCF(144,3563) x common factors =1 x 1 = 1

LCM(144,3563) = ( 144 × 3563 ) / 1

LCM(144,3563) = 513072 / 1

LCM(144,3563) = 513072

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FAQs on GCF of Fractions of 8283/144, 6836/3563

1. What is the HCF of 8283,6836?

The HCF of 8283,6836 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 8283/144, 6836/3563?

Answer: GCF of Numerators as per given numbers 8283/144, 6836/3563 is

GCF of Numerators i.e. for 8283,6836 is 1

LCM of denominators i.e. for 144,3563 is 513072.

Thus, GCF of Fractions is 1/513072.Finally, GCF of Fractions for 8283/144, 6836/3563 is 1/513072.