How to Find GCF of 3082/490, 1558/600?

GCF of 3082/490, 1558/600

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 3082/490, 1558/600 i.e 2/29400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/490, 1558/600.

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 3082/490,1558/600?

Given fractions are 3082/490,1558/600

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 3082/490,1558/600, numerators are 3082,1558

Denominators are 490,600

The GCF of 3082,1558 is 2 .

LCM of 490,600 is 29400.

The greatest common factor of 3082/490,1558/600 = [GCF of 3082,1558]/[LCM of 490,600]= 2/29400

Therefore, the GCF of 3082/490,1558/600 is 2/29400.

Greatest Common Factor of 3082,1558

To find the highest common factor of 3082,1558, 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 1558 are 1, 2, 19, 38, 41, 82, 779, 1558

The HCF of 3082,1558 is 2.

Lets's calculate GCF of 3082,1558

Greatest Common Factor (GCF) of 3082,1558 By Common Division

2	3082, 1558
	1541, 779

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

Greatest Common Factor of 3082,1558 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 1558

1,2,19,38,41,82,779,1558

Greatest Common Factor

We found the factors 3082,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,1558 is 2.

Lets's calculate LCM of 490,600

Lowest Common Multiple of 490,600 using Common Division

2	490, 600
5	245, 300
	49, 60

∴ So the LCM of the given numbers is 2 x 5 x 49 x 60 = 29400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29400

Therefore, the GCF of Fractions 3082/490,1558/600 is 2/29400

Least Common Multiple of 490,600 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 490,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,600) = 10

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

GCF(490,600) x common factors =10 x 1 = 10

LCM(490,600) = ( 490 × 600 ) / 10

LCM(490,600) = 294000 / 10

LCM(490,600) = 29400

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FAQs on GCF of Fractions of 3082/490, 1558/600

1. What is the HCF of 3082,1558?

The HCF of 3082,1558 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 3082/490, 1558/600?

Answer: GCF of Numerators as per given numbers 3082/490, 1558/600 is

GCF of Numerators i.e. for 3082,1558 is 2

LCM of denominators i.e. for 490,600 is 29400.

Thus, GCF of Fractions is 2/29400.Finally, GCF of Fractions for 3082/490, 1558/600 is 2/29400.