How to Find GCF of 228/33, 665/746?

GCF of 228/33, 665/746

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 228/33, 665/746 i.e 19/24618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/33, 665/746.

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 228/33,665/746?

Given fractions are 228/33,665/746

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 228/33,665/746, numerators are 228,665

Denominators are 33,746

The GCF of 228,665 is 19 .

LCM of 33,746 is 24618.

The greatest common factor of 228/33,665/746 = [GCF of 228,665]/[LCM of 33,746]= 19/24618

Therefore, the GCF of 228/33,665/746 is 19/24618.

Greatest Common Factor of 228,665

To find the highest common factor of 228,665, we have to find the factors of both numbers and list the highest common factor.

The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665

The HCF of 228,665 is 19.

Lets's calculate GCF of 228,665

Greatest Common Factor (GCF) of 228,665 By Common Division

19	228, 665
	12, 35

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 228,665 By Matching Biggest Common Factor Method

Now, list down the factors of 228

1,2,3,4,6,12,19,38,57,76,114,228

Now, list down the factors of 665

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 228,665 . The biggest common factor number is the GCF number.
So the greatest common factor 228,665 is 19.

Lets's calculate LCM of 33,746

Lowest Common Multiple of 33,746 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/24618

Therefore, the GCF of Fractions 228/33,665/746 is 19/24618

Least Common Multiple of 33,746 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 33,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,746) = 1

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

GCF(33,746) x common factors =1 x 1 = 1

LCM(33,746) = ( 33 × 746 ) / 1

LCM(33,746) = 24618 / 1

LCM(33,746) = 24618

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FAQs on GCF of Fractions of 228/33, 665/746

1. What is the HCF of 228,665?

The HCF of 228,665 is 19

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 228/33, 665/746?

Answer: GCF of Numerators as per given numbers 228/33, 665/746 is

GCF of Numerators i.e. for 228,665 is 19

LCM of denominators i.e. for 33,746 is 24618.

Thus, GCF of Fractions is 19/24618.Finally, GCF of Fractions for 228/33, 665/746 is 19/24618.