How to Find GCF of 62/592, 54/935, 178/521?

GCF of 62/592, 54/935, 178/521

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 62/592, 54/935, 178/521 i.e 2/288383920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/592, 54/935, 178/521.

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 62/592,54/935,178/521?

Given fractions are 62/592,54/935,178/521

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 62/592,54/935,178/521, numerators are 62,54,178

Denominators are 592,935,521

The GCF of 62,54,178 is 2 .

LCM of 592,935,521 is 288383920.

The greatest common factor of 62/592,54/935,178/521 = [GCF of 62,54,178]/[LCM of 592,935,521]= 2/288383920

Therefore, the GCF of 62/592,54/935,178/521 is 2/288383920.

Greatest Common Factor of 62,54,178

To find the highest common factor of 62,54,178, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 178 are 1, 2, 89, 178

The HCF of 62,54,178 is 2.

Lets's calculate GCF of 62,54,178

Greatest Common Factor (GCF) of 62,54,178 By Common Division

2	62, 54, 178
	31, 27, 89

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,54,178 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 178

1,2,89,178

Greatest Common Factor

We found the factors 62,54,178 . The biggest common factor number is the GCF number.
So the greatest common factor 62,54,178 is 2.

Lets's calculate LCM of 592,935,521

Lowest Common Multiple of 592,935,521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288383920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288383920

Therefore, the GCF of Fractions 62/592,54/935,178/521 is 2/288383920

Least Common Multiple of 592,935,521 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 592,935,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,935,521) = 1

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

GCF(592,935,521) x common factors =1 x 1 = 1

LCM(592,935,521) = ( 592 × 935 × 521 ) / 1

LCM(592,935,521) = 288383920 / 1

LCM(592,935,521) = 288383920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 62/592, 54/935, 178/521

1. What is the HCF of 62,54,178?

The HCF of 62,54,178 is 2

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 62/592, 54/935, 178/521?

Answer: GCF of Numerators as per given numbers 62/592, 54/935, 178/521 is

GCF of Numerators i.e. for 62,54,178 is 2

LCM of denominators i.e. for 592,935,521 is 288383920.

Thus, GCF of Fractions is 2/288383920.Finally, GCF of Fractions for 62/592, 54/935, 178/521 is 2/288383920.