How to Find GCF of 4075/576, 2188/4228?

GCF of 4075/576, 2188/4228

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 4075/576, 2188/4228 i.e 1/608832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4075/576, 2188/4228.

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 4075/576,2188/4228?

Given fractions are 4075/576,2188/4228

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 4075/576,2188/4228, numerators are 4075,2188

Denominators are 576,4228

The GCF of 4075,2188 is 1 .

LCM of 576,4228 is 608832.

The greatest common factor of 4075/576,2188/4228 = [GCF of 4075,2188]/[LCM of 576,4228]= 1/608832

Therefore, the GCF of 4075/576,2188/4228 is 1/608832.

Greatest Common Factor of 4075,2188

To find the highest common factor of 4075,2188, we have to find the factors of both numbers and list the highest common factor.

The factors of 4075 are 1, 5, 25, 163, 815, 4075

The factors of 2188 are 1, 2, 4, 547, 1094, 2188

The HCF of 4075,2188 is 1.

Lets's calculate GCF of 4075,2188

Greatest Common Factor (GCF) of 4075,2188 By Common Division

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

Greatest Common Factor of 4075,2188 By Matching Biggest Common Factor Method

Now, list down the factors of 4075

1,5,25,163,815,4075

Now, list down the factors of 2188

1,2,4,547,1094,2188

Greatest Common Factor

We found the factors 4075,2188 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,2188 is 1.

Lets's calculate LCM of 576,4228

Lowest Common Multiple of 576,4228 using Common Division

2	576, 4228
2	288, 2114
	144, 1057

∴ So the LCM of the given numbers is 2 x 2 x 144 x 1057 = 608832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608832

Therefore, the GCF of Fractions 4075/576,2188/4228 is 1/608832

Least Common Multiple of 576,4228 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 576,4228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,4228) = 4

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

GCF(576,4228) x common factors =4 x 1 = 4

LCM(576,4228) = ( 576 × 4228 ) / 4

LCM(576,4228) = 2435328 / 4

LCM(576,4228) = 608832

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4075/576, 2188/4228

1. What is the HCF of 4075,2188?

The HCF of 4075,2188 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 4075/576, 2188/4228?

Answer: GCF of Numerators as per given numbers 4075/576, 2188/4228 is

GCF of Numerators i.e. for 4075,2188 is 1

LCM of denominators i.e. for 576,4228 is 608832.

Thus, GCF of Fractions is 1/608832.Finally, GCF of Fractions for 4075/576, 2188/4228 is 1/608832.