How to Find GCF of 7374/587, 5019/9784?

GCF of 7374/587, 5019/9784

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 7374/587, 5019/9784 i.e 3/5743208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7374/587, 5019/9784.

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 7374/587,5019/9784?

Given fractions are 7374/587,5019/9784

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 7374/587,5019/9784, numerators are 7374,5019

Denominators are 587,9784

The GCF of 7374,5019 is 3 .

LCM of 587,9784 is 5743208.

The greatest common factor of 7374/587,5019/9784 = [GCF of 7374,5019]/[LCM of 587,9784]= 3/5743208

Therefore, the GCF of 7374/587,5019/9784 is 3/5743208.

Greatest Common Factor of 7374,5019

To find the highest common factor of 7374,5019, we have to find the factors of both numbers and list the highest common factor.

The factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374

The factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019

The HCF of 7374,5019 is 3.

Lets's calculate GCF of 7374,5019

Greatest Common Factor (GCF) of 7374,5019 By Common Division

3	7374, 5019
	2458, 1673

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7374,5019 By Matching Biggest Common Factor Method

Now, list down the factors of 7374

1,2,3,6,1229,2458,3687,7374

Now, list down the factors of 5019

1,3,7,21,239,717,1673,5019

Greatest Common Factor

We found the factors 7374,5019 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,5019 is 3.

Lets's calculate LCM of 587,9784

Lowest Common Multiple of 587,9784 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5743208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5743208

Therefore, the GCF of Fractions 7374/587,5019/9784 is 3/5743208

Least Common Multiple of 587,9784 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 587,9784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,9784) = 1

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

GCF(587,9784) x common factors =1 x 1 = 1

LCM(587,9784) = ( 587 × 9784 ) / 1

LCM(587,9784) = 5743208 / 1

LCM(587,9784) = 5743208

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FAQs on GCF of Fractions of 7374/587, 5019/9784

1. What is the HCF of 7374,5019?

The HCF of 7374,5019 is 3

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 7374/587, 5019/9784?

Answer: GCF of Numerators as per given numbers 7374/587, 5019/9784 is

GCF of Numerators i.e. for 7374,5019 is 3

LCM of denominators i.e. for 587,9784 is 5743208.

Thus, GCF of Fractions is 3/5743208.Finally, GCF of Fractions for 7374/587, 5019/9784 is 3/5743208.