How to Find GCF of 3728/372, 4595/1436?

GCF of 3728/372, 4595/1436

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 3728/372, 4595/1436 i.e 1/133548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3728/372, 4595/1436.

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 3728/372,4595/1436?

Given fractions are 3728/372,4595/1436

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 3728/372,4595/1436, numerators are 3728,4595

Denominators are 372,1436

The GCF of 3728,4595 is 1 .

LCM of 372,1436 is 133548.

The greatest common factor of 3728/372,4595/1436 = [GCF of 3728,4595]/[LCM of 372,1436]= 1/133548

Therefore, the GCF of 3728/372,4595/1436 is 1/133548.

Greatest Common Factor of 3728,4595

To find the highest common factor of 3728,4595, we have to find the factors of both numbers and list the highest common factor.

The factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

The factors of 4595 are 1, 5, 919, 4595

The HCF of 3728,4595 is 1.

Lets's calculate GCF of 3728,4595

Greatest Common Factor (GCF) of 3728,4595 By Common Division

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

Greatest Common Factor of 3728,4595 By Matching Biggest Common Factor Method

Now, list down the factors of 3728

1,2,4,8,16,233,466,932,1864,3728

Now, list down the factors of 4595

1,5,919,4595

Greatest Common Factor

We found the factors 3728,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 3728,4595 is 1.

Lets's calculate LCM of 372,1436

Lowest Common Multiple of 372,1436 using Common Division

2	372, 1436
2	186, 718
	93, 359

∴ So the LCM of the given numbers is 2 x 2 x 93 x 359 = 133548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133548

Therefore, the GCF of Fractions 3728/372,4595/1436 is 1/133548

Least Common Multiple of 372,1436 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 372,1436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,1436) = 4

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

GCF(372,1436) x common factors =4 x 1 = 4

LCM(372,1436) = ( 372 × 1436 ) / 4

LCM(372,1436) = 534192 / 4

LCM(372,1436) = 133548

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3728/372, 4595/1436

1. What is the HCF of 3728,4595?

The HCF of 3728,4595 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 3728/372, 4595/1436?

Answer: GCF of Numerators as per given numbers 3728/372, 4595/1436 is

GCF of Numerators i.e. for 3728,4595 is 1

LCM of denominators i.e. for 372,1436 is 133548.

Thus, GCF of Fractions is 1/133548.Finally, GCF of Fractions for 3728/372, 4595/1436 is 1/133548.