How to Find GCF of 3614/600, 5290/9598?

GCF of 3614/600, 5290/9598

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 3614/600, 5290/9598 i.e 2/2879400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3614/600, 5290/9598.

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 3614/600,5290/9598?

Given fractions are 3614/600,5290/9598

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 3614/600,5290/9598, numerators are 3614,5290

Denominators are 600,9598

The GCF of 3614,5290 is 2 .

LCM of 600,9598 is 2879400.

The greatest common factor of 3614/600,5290/9598 = [GCF of 3614,5290]/[LCM of 600,9598]= 2/2879400

Therefore, the GCF of 3614/600,5290/9598 is 2/2879400.

Greatest Common Factor of 3614,5290

To find the highest common factor of 3614,5290, we have to find the factors of both numbers and list the highest common factor.

The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614

The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

The HCF of 3614,5290 is 2.

Lets's calculate GCF of 3614,5290

Greatest Common Factor (GCF) of 3614,5290 By Common Division

2	3614, 5290
	1807, 2645

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

Greatest Common Factor of 3614,5290 By Matching Biggest Common Factor Method

Now, list down the factors of 3614

1,2,13,26,139,278,1807,3614

Now, list down the factors of 5290

1,2,5,10,23,46,115,230,529,1058,2645,5290

Greatest Common Factor

We found the factors 3614,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,5290 is 2.

Lets's calculate LCM of 600,9598

Lowest Common Multiple of 600,9598 using Common Division

2	600, 9598
	300, 4799

∴ So the LCM of the given numbers is 2 x 300 x 4799 = 2879400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2879400

Therefore, the GCF of Fractions 3614/600,5290/9598 is 2/2879400

Least Common Multiple of 600,9598 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 600,9598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,9598) = 2

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

GCF(600,9598) x common factors =2 x 1 = 2

LCM(600,9598) = ( 600 × 9598 ) / 2

LCM(600,9598) = 5758800 / 2

LCM(600,9598) = 2879400

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FAQs on GCF of Fractions of 3614/600, 5290/9598

1. What is the HCF of 3614,5290?

The HCF of 3614,5290 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 3614/600, 5290/9598?

Answer: GCF of Numerators as per given numbers 3614/600, 5290/9598 is

GCF of Numerators i.e. for 3614,5290 is 2

LCM of denominators i.e. for 600,9598 is 2879400.

Thus, GCF of Fractions is 2/2879400.Finally, GCF of Fractions for 3614/600, 5290/9598 is 2/2879400.