How to Find GCF of 3037/596, 8757/2806?

GCF of 3037/596, 8757/2806

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 3037/596, 8757/2806 i.e 1/836188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3037/596, 8757/2806.

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 3037/596,8757/2806?

Given fractions are 3037/596,8757/2806

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 3037/596,8757/2806, numerators are 3037,8757

Denominators are 596,2806

The GCF of 3037,8757 is 1 .

LCM of 596,2806 is 836188.

The greatest common factor of 3037/596,8757/2806 = [GCF of 3037,8757]/[LCM of 596,2806]= 1/836188

Therefore, the GCF of 3037/596,8757/2806 is 1/836188.

Greatest Common Factor of 3037,8757

To find the highest common factor of 3037,8757, we have to find the factors of both numbers and list the highest common factor.

The factors of 3037 are 1, 3037

The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757

The HCF of 3037,8757 is 1.

Lets's calculate GCF of 3037,8757

Greatest Common Factor (GCF) of 3037,8757 By Common Division

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

Greatest Common Factor of 3037,8757 By Matching Biggest Common Factor Method

Now, list down the factors of 3037

1,3037

Now, list down the factors of 8757

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 3037,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 3037,8757 is 1.

Lets's calculate LCM of 596,2806

Lowest Common Multiple of 596,2806 using Common Division

2	596, 2806
	298, 1403

∴ So the LCM of the given numbers is 2 x 298 x 1403 = 836188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836188

Therefore, the GCF of Fractions 3037/596,8757/2806 is 1/836188

Least Common Multiple of 596,2806 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 596,2806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,2806) = 2

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

GCF(596,2806) x common factors =2 x 1 = 2

LCM(596,2806) = ( 596 × 2806 ) / 2

LCM(596,2806) = 1672376 / 2

LCM(596,2806) = 836188

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FAQs on GCF of Fractions of 3037/596, 8757/2806

1. What is the HCF of 3037,8757?

The HCF of 3037,8757 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 3037/596, 8757/2806?

Answer: GCF of Numerators as per given numbers 3037/596, 8757/2806 is

GCF of Numerators i.e. for 3037,8757 is 1

LCM of denominators i.e. for 596,2806 is 836188.

Thus, GCF of Fractions is 1/836188.Finally, GCF of Fractions for 3037/596, 8757/2806 is 1/836188.