How to Find GCF of 2788/590, 3682/6158?

GCF of 2788/590, 3682/6158

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 2788/590, 3682/6158 i.e 2/1816610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2788/590, 3682/6158.

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 2788/590,3682/6158?

Given fractions are 2788/590,3682/6158

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 2788/590,3682/6158, numerators are 2788,3682

Denominators are 590,6158

The GCF of 2788,3682 is 2 .

LCM of 590,6158 is 1816610.

The greatest common factor of 2788/590,3682/6158 = [GCF of 2788,3682]/[LCM of 590,6158]= 2/1816610

Therefore, the GCF of 2788/590,3682/6158 is 2/1816610.

Greatest Common Factor of 2788,3682

To find the highest common factor of 2788,3682, we have to find the factors of both numbers and list the highest common factor.

The factors of 2788 are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394, 2788

The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682

The HCF of 2788,3682 is 2.

Lets's calculate GCF of 2788,3682

Greatest Common Factor (GCF) of 2788,3682 By Common Division

2	2788, 3682
	1394, 1841

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

Greatest Common Factor of 2788,3682 By Matching Biggest Common Factor Method

Now, list down the factors of 2788

1,2,4,17,34,41,68,82,164,697,1394,2788

Now, list down the factors of 3682

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors 2788,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 2788,3682 is 2.

Lets's calculate LCM of 590,6158

Lowest Common Multiple of 590,6158 using Common Division

2	590, 6158
	295, 3079

∴ So the LCM of the given numbers is 2 x 295 x 3079 = 1816610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1816610

Therefore, the GCF of Fractions 2788/590,3682/6158 is 2/1816610

Least Common Multiple of 590,6158 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 590,6158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,6158) = 2

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

GCF(590,6158) x common factors =2 x 1 = 2

LCM(590,6158) = ( 590 × 6158 ) / 2

LCM(590,6158) = 3633220 / 2

LCM(590,6158) = 1816610

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2788/590, 3682/6158

1. What is the HCF of 2788,3682?

The HCF of 2788,3682 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 2788/590, 3682/6158?

Answer: GCF of Numerators as per given numbers 2788/590, 3682/6158 is

GCF of Numerators i.e. for 2788,3682 is 2

LCM of denominators i.e. for 590,6158 is 1816610.

Thus, GCF of Fractions is 2/1816610.Finally, GCF of Fractions for 2788/590, 3682/6158 is 2/1816610.