How to Find GCF of 2235/494, 4204/9144?

GCF of 2235/494, 4204/9144

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 2235/494, 4204/9144 i.e 1/2258568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2235/494, 4204/9144.

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 2235/494,4204/9144?

Given fractions are 2235/494,4204/9144

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 2235/494,4204/9144, numerators are 2235,4204

Denominators are 494,9144

The GCF of 2235,4204 is 1 .

LCM of 494,9144 is 2258568.

The greatest common factor of 2235/494,4204/9144 = [GCF of 2235,4204]/[LCM of 494,9144]= 1/2258568

Therefore, the GCF of 2235/494,4204/9144 is 1/2258568.

Greatest Common Factor of 2235,4204

To find the highest common factor of 2235,4204, we have to find the factors of both numbers and list the highest common factor.

The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235

The factors of 4204 are 1, 2, 4, 1051, 2102, 4204

The HCF of 2235,4204 is 1.

Lets's calculate GCF of 2235,4204

Greatest Common Factor (GCF) of 2235,4204 By Common Division

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

Greatest Common Factor of 2235,4204 By Matching Biggest Common Factor Method

Now, list down the factors of 2235

1,3,5,15,149,447,745,2235

Now, list down the factors of 4204

1,2,4,1051,2102,4204

Greatest Common Factor

We found the factors 2235,4204 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,4204 is 1.

Lets's calculate LCM of 494,9144

Lowest Common Multiple of 494,9144 using Common Division

2	494, 9144
	247, 4572

∴ So the LCM of the given numbers is 2 x 247 x 4572 = 2258568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2258568

Therefore, the GCF of Fractions 2235/494,4204/9144 is 1/2258568

Least Common Multiple of 494,9144 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 494,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,9144) = 2

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

GCF(494,9144) x common factors =2 x 1 = 2

LCM(494,9144) = ( 494 × 9144 ) / 2

LCM(494,9144) = 4517136 / 2

LCM(494,9144) = 2258568

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FAQs on GCF of Fractions of 2235/494, 4204/9144

1. What is the HCF of 2235,4204?

The HCF of 2235,4204 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 2235/494, 4204/9144?

Answer: GCF of Numerators as per given numbers 2235/494, 4204/9144 is

GCF of Numerators i.e. for 2235,4204 is 1

LCM of denominators i.e. for 494,9144 is 2258568.

Thus, GCF of Fractions is 1/2258568.Finally, GCF of Fractions for 2235/494, 4204/9144 is 1/2258568.