How to Find GCF of 55/23, 927/64, 523/444?

GCF of 55/23, 927/64, 523/444

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 55/23, 927/64, 523/444 i.e 1/163392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/23, 927/64, 523/444.

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 55/23,927/64,523/444?

Given fractions are 55/23,927/64,523/444

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 55/23,927/64,523/444, numerators are 55,927,523

Denominators are 23,64,444

The GCF of 55,927,523 is 1 .

LCM of 23,64,444 is 163392.

The greatest common factor of 55/23,927/64,523/444 = [GCF of 55,927,523]/[LCM of 23,64,444]= 1/163392

Therefore, the GCF of 55/23,927/64,523/444 is 1/163392.

Greatest Common Factor of 55,927,523

To find the highest common factor of 55,927,523, we have to find the factors of both numbers and list the highest common factor.

The factors of 55 are 1, 5, 11, 55

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

The factors of 523 are 1, 523

The HCF of 55,927,523 is 1.

Lets's calculate GCF of 55,927,523

Greatest Common Factor (GCF) of 55,927,523 By Common Division

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

Greatest Common Factor of 55,927,523 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 927

1,3,9,103,309,927

Now, list down the factors of 523

1,523

Greatest Common Factor

We found the factors 55,927,523 . The biggest common factor number is the GCF number.
So the greatest common factor 55,927,523 is 1.

Lets's calculate LCM of 23,64,444

Lowest Common Multiple of 23,64,444 using Common Division

2	23, 64, 444
2	23, 32, 222
	23, 16, 111

∴ So the LCM of the given numbers is 2 x 2 x 23 x 16 x 111 = 163392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163392

Therefore, the GCF of Fractions 55/23,927/64,523/444 is 1/163392

Least Common Multiple of 23,64,444 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 23,64,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,64,444) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(23,64,444) x common factors =1 x 4 = 4

LCM(23,64,444) = ( 23 × 64 × 444 ) / 4

LCM(23,64,444) = 653568 / 4

LCM(23,64,444) = 163392

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 55/23, 927/64, 523/444

1. What is the HCF of 55,927,523?

The HCF of 55,927,523 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 55/23, 927/64, 523/444?

Answer: GCF of Numerators as per given numbers 55/23, 927/64, 523/444 is

GCF of Numerators i.e. for 55,927,523 is 1

LCM of denominators i.e. for 23,64,444 is 163392.

Thus, GCF of Fractions is 1/163392.Finally, GCF of Fractions for 55/23, 927/64, 523/444 is 1/163392.