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GCF of 402/208, 8363/576

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 402/208, 8363/576 i.e 1/7488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/208, 8363/576.

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 402/208,8363/576?

Given fractions are 402/208,8363/576

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 402/208,8363/576, numerators are 402,8363

Denominators are 208,576

The GCF of 402,8363 is 1 .

LCM of 208,576 is 7488.

The greatest common factor of 402/208,8363/576 = [GCF of 402,8363]/[LCM of 208,576]= 1/7488

Therefore, the GCF of 402/208,8363/576 is 1/7488.

Greatest Common Factor of 402,8363

To find the highest common factor of 402,8363, we have to find the factors of both numbers and list the highest common factor.

The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402

The factors of 8363 are 1, 8363

The HCF of 402,8363 is 1.

Lets's calculate GCF of 402,8363

Greatest Common Factor (GCF) of 402,8363 By Common Division

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

Greatest Common Factor of 402,8363 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,8363 By Matching Biggest Common Factor Method

Now, list down the factors of 402

:

1,2,3,6,67,134,201,402

Now, list down the factors of 8363

:

1,8363

Greatest Common Factor

We found the factors 402,8363 . The biggest common factor number is the GCF number.
So the greatest common factor 402,8363 is 1.

Lets's calculate LCM of 208,576

Lowest Common Multiple of 208,576 using Common Division

2 208, 576
2 104, 288
2 52, 144
2 26, 72
13, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 36 = 7488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7488

Therefore, the GCF of Fractions 402/208,8363/576 is 1/7488

Least Common Multiple of 208,576 with GCF Formula

Least Common Multiple of 208,576 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 208,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,576) = 16

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

GCF(208,576) x common factors =16 x 1 = 16

LCM(208,576) = ( 208 × 576 ) / 16

LCM(208,576) = 119808 / 16

LCM(208,576) = 7488


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FAQs on GCF of Fractions of 402/208, 8363/576

1. What is the HCF of 402,8363?

The HCF of 402,8363 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 402/208, 8363/576?

Answer: GCF of Numerators as per given numbers 402/208, 8363/576 is

GCF of Numerators i.e. for 402,8363 is 1

LCM of denominators i.e. for 208,576 is 7488.

Thus, GCF of Fractions is 1/7488.Finally, GCF of Fractions for 402/208, 8363/576 is 1/7488.