How to Find GCF of 9047/606, 3725/4240?

GCF of 9047/606, 3725/4240

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 9047/606, 3725/4240 i.e 1/1284720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9047/606, 3725/4240.

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 9047/606,3725/4240?

Given fractions are 9047/606,3725/4240

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 9047/606,3725/4240, numerators are 9047,3725

Denominators are 606,4240

The GCF of 9047,3725 is 1 .

LCM of 606,4240 is 1284720.

The greatest common factor of 9047/606,3725/4240 = [GCF of 9047,3725]/[LCM of 606,4240]= 1/1284720

Therefore, the GCF of 9047/606,3725/4240 is 1/1284720.

Greatest Common Factor of 9047,3725

To find the highest common factor of 9047,3725, we have to find the factors of both numbers and list the highest common factor.

The factors of 9047 are 1, 83, 109, 9047

The factors of 3725 are 1, 5, 25, 149, 745, 3725

The HCF of 9047,3725 is 1.

Lets's calculate GCF of 9047,3725

Greatest Common Factor (GCF) of 9047,3725 By Common Division

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

Greatest Common Factor of 9047,3725 By Matching Biggest Common Factor Method

Now, list down the factors of 9047

1,83,109,9047

Now, list down the factors of 3725

1,5,25,149,745,3725

Greatest Common Factor

We found the factors 9047,3725 . The biggest common factor number is the GCF number.
So the greatest common factor 9047,3725 is 1.

Lets's calculate LCM of 606,4240

Lowest Common Multiple of 606,4240 using Common Division

2	606, 4240
	303, 2120

∴ So the LCM of the given numbers is 2 x 303 x 2120 = 1284720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284720

Therefore, the GCF of Fractions 9047/606,3725/4240 is 1/1284720

Least Common Multiple of 606,4240 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 606,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,4240) = 2

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

GCF(606,4240) x common factors =2 x 1 = 2

LCM(606,4240) = ( 606 × 4240 ) / 2

LCM(606,4240) = 2569440 / 2

LCM(606,4240) = 1284720

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FAQs on GCF of Fractions of 9047/606, 3725/4240

1. What is the HCF of 9047,3725?

The HCF of 9047,3725 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 9047/606, 3725/4240?

Answer: GCF of Numerators as per given numbers 9047/606, 3725/4240 is

GCF of Numerators i.e. for 9047,3725 is 1

LCM of denominators i.e. for 606,4240 is 1284720.

Thus, GCF of Fractions is 1/1284720.Finally, GCF of Fractions for 9047/606, 3725/4240 is 1/1284720.