How to Find GCF of 15/523, 34/440, 234/648?

GCF of 15/523, 34/440, 234/648

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 15/523, 34/440, 234/648 i.e 1/18639720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/523, 34/440, 234/648.

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 15/523,34/440,234/648?

Given fractions are 15/523,34/440,234/648

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 15/523,34/440,234/648, numerators are 15,34,234

Denominators are 523,440,648

The GCF of 15,34,234 is 1 .

LCM of 523,440,648 is 18639720.

The greatest common factor of 15/523,34/440,234/648 = [GCF of 15,34,234]/[LCM of 523,440,648]= 1/18639720

Therefore, the GCF of 15/523,34/440,234/648 is 1/18639720.

Greatest Common Factor of 15,34,234

To find the highest common factor of 15,34,234, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 34 are 1, 2, 17, 34

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The HCF of 15,34,234 is 1.

Lets's calculate GCF of 15,34,234

Greatest Common Factor (GCF) of 15,34,234 By Common Division

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

Greatest Common Factor of 15,34,234 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 234

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 15,34,234 . The biggest common factor number is the GCF number.
So the greatest common factor 15,34,234 is 1.

Lets's calculate LCM of 523,440,648

Lowest Common Multiple of 523,440,648 using Common Division

2	523, 440, 648
2	523, 220, 324
2	523, 110, 162
	523, 55, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 523 x 55 x 81 = 18639720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18639720

Therefore, the GCF of Fractions 15/523,34/440,234/648 is 1/18639720

Least Common Multiple of 523,440,648 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 523,440,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,440,648) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(523,440,648) x common factors =1 x 8 = 8

LCM(523,440,648) = ( 523 × 440 × 648 ) / 8

LCM(523,440,648) = 149117760 / 8

LCM(523,440,648) = 18639720

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/523, 34/440, 234/648

1. What is the HCF of 15,34,234?

The HCF of 15,34,234 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 15/523, 34/440, 234/648?

Answer: GCF of Numerators as per given numbers 15/523, 34/440, 234/648 is

GCF of Numerators i.e. for 15,34,234 is 1

LCM of denominators i.e. for 523,440,648 is 18639720.

Thus, GCF of Fractions is 1/18639720.Finally, GCF of Fractions for 15/523, 34/440, 234/648 is 1/18639720.