How to Find GCF of 3082/593, 2200/3418?

GCF of 3082/593, 2200/3418

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 3082/593, 2200/3418 i.e 2/2026874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/593, 2200/3418.

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 3082/593,2200/3418?

Given fractions are 3082/593,2200/3418

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 3082/593,2200/3418, numerators are 3082,2200

Denominators are 593,3418

The GCF of 3082,2200 is 2 .

LCM of 593,3418 is 2026874.

The greatest common factor of 3082/593,2200/3418 = [GCF of 3082,2200]/[LCM of 593,3418]= 2/2026874

Therefore, the GCF of 3082/593,2200/3418 is 2/2026874.

Greatest Common Factor of 3082,2200

To find the highest common factor of 3082,2200, we have to find the factors of both numbers and list the highest common factor.

The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082

The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200

The HCF of 3082,2200 is 2.

Lets's calculate GCF of 3082,2200

Greatest Common Factor (GCF) of 3082,2200 By Common Division

2	3082, 2200
	1541, 1100

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3082,2200 By Matching Biggest Common Factor Method

Now, list down the factors of 3082

1,2,23,46,67,134,1541,3082

Now, list down the factors of 2200

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Greatest Common Factor

We found the factors 3082,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,2200 is 2.

Lets's calculate LCM of 593,3418

Lowest Common Multiple of 593,3418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2026874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2026874

Therefore, the GCF of Fractions 3082/593,2200/3418 is 2/2026874

Least Common Multiple of 593,3418 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 593,3418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,3418) = 1

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

GCF(593,3418) x common factors =1 x 1 = 1

LCM(593,3418) = ( 593 × 3418 ) / 1

LCM(593,3418) = 2026874 / 1

LCM(593,3418) = 2026874

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3082/593, 2200/3418

1. What is the HCF of 3082,2200?

The HCF of 3082,2200 is 2

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 3082/593, 2200/3418?

Answer: GCF of Numerators as per given numbers 3082/593, 2200/3418 is

GCF of Numerators i.e. for 3082,2200 is 2

LCM of denominators i.e. for 593,3418 is 2026874.

Thus, GCF of Fractions is 2/2026874.Finally, GCF of Fractions for 3082/593, 2200/3418 is 2/2026874.