How to Find GCF of 18/380, 91/232, 353/216?

GCF of 18/380, 91/232, 353/216

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 18/380, 91/232, 353/216 i.e 1/595080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/380, 91/232, 353/216.

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 18/380,91/232,353/216?

Given fractions are 18/380,91/232,353/216

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 18/380,91/232,353/216, numerators are 18,91,353

Denominators are 380,232,216

The GCF of 18,91,353 is 1 .

LCM of 380,232,216 is 595080.

The greatest common factor of 18/380,91/232,353/216 = [GCF of 18,91,353]/[LCM of 380,232,216]= 1/595080

Therefore, the GCF of 18/380,91/232,353/216 is 1/595080.

Greatest Common Factor of 18,91,353

To find the highest common factor of 18,91,353, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 91 are 1, 7, 13, 91

The factors of 353 are 1, 353

The HCF of 18,91,353 is 1.

Lets's calculate GCF of 18,91,353

Greatest Common Factor (GCF) of 18,91,353 By Common Division

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

Greatest Common Factor of 18,91,353 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 353

1,353

Greatest Common Factor

We found the factors 18,91,353 . The biggest common factor number is the GCF number.
So the greatest common factor 18,91,353 is 1.

Lets's calculate LCM of 380,232,216

Lowest Common Multiple of 380,232,216 using Common Division

2	380, 232, 216
2	190, 116, 108
2	95, 58, 54
	95, 29, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 29 x 27 = 595080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595080

Therefore, the GCF of Fractions 18/380,91/232,353/216 is 1/595080

Least Common Multiple of 380,232,216 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 380,232,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,232,216) = 4

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

GCF(380,232,216) x common factors =4 x 8 = 32

LCM(380,232,216) = ( 380 × 232 × 216 ) / 32

LCM(380,232,216) = 19042560 / 32

LCM(380,232,216) = 595080

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FAQs on GCF of Fractions of 18/380, 91/232, 353/216

1. What is the HCF of 18,91,353?

The HCF of 18,91,353 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 18/380, 91/232, 353/216?

Answer: GCF of Numerators as per given numbers 18/380, 91/232, 353/216 is

GCF of Numerators i.e. for 18,91,353 is 1

LCM of denominators i.e. for 380,232,216 is 595080.

Thus, GCF of Fractions is 1/595080.Finally, GCF of Fractions for 18/380, 91/232, 353/216 is 1/595080.