How to Find GCF of 362/479, 3400/8034?

GCF of 362/479, 3400/8034

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 362/479, 3400/8034 i.e 2/3848286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/479, 3400/8034.

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 362/479,3400/8034?

Given fractions are 362/479,3400/8034

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 362/479,3400/8034, numerators are 362,3400

Denominators are 479,8034

The GCF of 362,3400 is 2 .

LCM of 479,8034 is 3848286.

The greatest common factor of 362/479,3400/8034 = [GCF of 362,3400]/[LCM of 479,8034]= 2/3848286

Therefore, the GCF of 362/479,3400/8034 is 2/3848286.

Greatest Common Factor of 362,3400

To find the highest common factor of 362,3400, we have to find the factors of both numbers and list the highest common factor.

The factors of 362 are 1, 2, 181, 362

The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400

The HCF of 362,3400 is 2.

Lets's calculate GCF of 362,3400

Greatest Common Factor (GCF) of 362,3400 By Common Division

2	362, 3400
	181, 1700

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

Greatest Common Factor of 362,3400 By Matching Biggest Common Factor Method

Now, list down the factors of 362

1,2,181,362

Now, list down the factors of 3400

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Greatest Common Factor

We found the factors 362,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 362,3400 is 2.

Lets's calculate LCM of 479,8034

Lowest Common Multiple of 479,8034 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3848286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3848286

Therefore, the GCF of Fractions 362/479,3400/8034 is 2/3848286

Least Common Multiple of 479,8034 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 479,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,8034) = 1

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

GCF(479,8034) x common factors =1 x 1 = 1

LCM(479,8034) = ( 479 × 8034 ) / 1

LCM(479,8034) = 3848286 / 1

LCM(479,8034) = 3848286

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FAQs on GCF of Fractions of 362/479, 3400/8034

1. What is the HCF of 362,3400?

The HCF of 362,3400 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 362/479, 3400/8034?

Answer: GCF of Numerators as per given numbers 362/479, 3400/8034 is

GCF of Numerators i.e. for 362,3400 is 2

LCM of denominators i.e. for 479,8034 is 3848286.

Thus, GCF of Fractions is 2/3848286.Finally, GCF of Fractions for 362/479, 3400/8034 is 2/3848286.