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GCF of 684/28, 906/327

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 684/28, 906/327 i.e 6/9156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 684/28, 906/327.

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 684/28,906/327?

Given fractions are 684/28,906/327

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 684/28,906/327, numerators are 684,906

Denominators are 28,327

The GCF of 684,906 is 6 .

LCM of 28,327 is 9156.

The greatest common factor of 684/28,906/327 = [GCF of 684,906]/[LCM of 28,327]= 6/9156

Therefore, the GCF of 684/28,906/327 is 6/9156.

Greatest Common Factor of 684,906

To find the highest common factor of 684,906, we have to find the factors of both numbers and list the highest common factor.

The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The HCF of 684,906 is 6.

Lets's calculate GCF of 684,906

Greatest Common Factor (GCF) of 684,906 By Common Division

2 684, 906
3 342, 453
114, 151

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 684,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,906 By Matching Biggest Common Factor Method

Now, list down the factors of 684

:

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Now, list down the factors of 906

:

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 684,906 . The biggest common factor number is the GCF number.
So the greatest common factor 684,906 is 6.

Lets's calculate LCM of 28,327

Lowest Common Multiple of 28,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9156

Therefore, the GCF of Fractions 684/28,906/327 is 6/9156

Least Common Multiple of 28,327 with GCF Formula

Least Common Multiple of 28,327 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 28,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,327) = 1

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

GCF(28,327) x common factors =1 x 1 = 1

LCM(28,327) = ( 28 × 327 ) / 1

LCM(28,327) = 9156 / 1

LCM(28,327) = 9156


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 684/28, 906/327

1. What is the HCF of 684,906?

The HCF of 684,906 is 6

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 684/28, 906/327?

Answer: GCF of Numerators as per given numbers 684/28, 906/327 is

GCF of Numerators i.e. for 684,906 is 6

LCM of denominators i.e. for 28,327 is 9156.

Thus, GCF of Fractions is 6/9156.Finally, GCF of Fractions for 684/28, 906/327 is 6/9156.