How to Find GCF of 13/24, 555/55, 718/132?

GCF of 13/24, 555/55, 718/132

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 13/24, 555/55, 718/132 i.e 1/1320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/24, 555/55, 718/132.

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 13/24,555/55,718/132?

Given fractions are 13/24,555/55,718/132

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 13/24,555/55,718/132, numerators are 13,555,718

Denominators are 24,55,132

The GCF of 13,555,718 is 1 .

LCM of 24,55,132 is 1320.

The greatest common factor of 13/24,555/55,718/132 = [GCF of 13,555,718]/[LCM of 24,55,132]= 1/1320

Therefore, the GCF of 13/24,555/55,718/132 is 1/1320.

Greatest Common Factor of 13,555,718

To find the highest common factor of 13,555,718, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555

The factors of 718 are 1, 2, 359, 718

The HCF of 13,555,718 is 1.

Lets's calculate GCF of 13,555,718

Greatest Common Factor (GCF) of 13,555,718 By Common Division

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

Greatest Common Factor of 13,555,718 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 555

1,3,5,15,37,111,185,555

Now, list down the factors of 718

1,2,359,718

Greatest Common Factor

We found the factors 13,555,718 . The biggest common factor number is the GCF number.
So the greatest common factor 13,555,718 is 1.

Lets's calculate LCM of 24,55,132

Lowest Common Multiple of 24,55,132 using Common Division

2	24, 55, 132
2	12, 55, 66
3	6, 55, 33
11	2, 55, 11
	2, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 2 x 5 x 1 = 1320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320

Therefore, the GCF of Fractions 13/24,555/55,718/132 is 1/1320

Least Common Multiple of 24,55,132 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 24,55,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,55,132) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(24,55,132) x common factors =1 x 132 = 132

LCM(24,55,132) = ( 24 × 55 × 132 ) / 132

LCM(24,55,132) = 174240 / 132

LCM(24,55,132) = 1320

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/24, 555/55, 718/132

1. What is the HCF of 13,555,718?

The HCF of 13,555,718 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 13/24, 555/55, 718/132?

Answer: GCF of Numerators as per given numbers 13/24, 555/55, 718/132 is

GCF of Numerators i.e. for 13,555,718 is 1

LCM of denominators i.e. for 24,55,132 is 1320.

Thus, GCF of Fractions is 1/1320.Finally, GCF of Fractions for 13/24, 555/55, 718/132 is 1/1320.