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GCF of 927/362, 564/304

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 927/362, 564/304 i.e 3/55024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/362, 564/304.

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 927/362,564/304?

Given fractions are 927/362,564/304

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 927/362,564/304, numerators are 927,564

Denominators are 362,304

The GCF of 927,564 is 3 .

LCM of 362,304 is 55024.

The greatest common factor of 927/362,564/304 = [GCF of 927,564]/[LCM of 362,304]= 3/55024

Therefore, the GCF of 927/362,564/304 is 3/55024.

Greatest Common Factor of 927,564

To find the highest common factor of 927,564, we have to find the factors of both numbers and list the highest common factor.

The factors of 927 are 1, 3, 9, 103, 309, 927

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The HCF of 927,564 is 3.

Lets's calculate GCF of 927,564

Greatest Common Factor (GCF) of 927,564 By Common Division

3 927, 564
309, 188

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

Greatest Common Factor of 927,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,564 By Matching Biggest Common Factor Method

Now, list down the factors of 927

:

1,3,9,103,309,927

Now, list down the factors of 564

:

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 927,564 . The biggest common factor number is the GCF number.
So the greatest common factor 927,564 is 3.


Lets's calculate LCM of 362,304

Lowest Common Multiple of 362,304 using Common Division

2 362, 304
181, 152

∴ So the LCM of the given numbers is 2 x 181 x 152 = 55024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55024

Therefore, the GCF of Fractions 927/362,564/304 is 3/55024

Least Common Multiple of 362,304 with GCF Formula

Least Common Multiple of 362,304 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 362,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,304) = 2

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

GCF(362,304) x common factors =2 x 1 = 2

LCM(362,304) = ( 362 × 304 ) / 2

LCM(362,304) = 110048 / 2

LCM(362,304) = 55024


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 927/362, 564/304

1. What is the HCF of 927,564?

The HCF of 927,564 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 927/362, 564/304?

Answer: GCF of Numerators as per given numbers 927/362, 564/304 is

GCF of Numerators i.e. for 927,564 is 3

LCM of denominators i.e. for 362,304 is 55024.

Thus, GCF of Fractions is 3/55024.Finally, GCF of Fractions for 927/362, 564/304 is 3/55024.