How to Find GCF of 7024/404, 2582/3923?

GCF of 7024/404, 2582/3923

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 7024/404, 2582/3923 i.e 2/1584892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/404, 2582/3923.

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 7024/404,2582/3923?

Given fractions are 7024/404,2582/3923

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 7024/404,2582/3923, numerators are 7024,2582

Denominators are 404,3923

The GCF of 7024,2582 is 2 .

LCM of 404,3923 is 1584892.

The greatest common factor of 7024/404,2582/3923 = [GCF of 7024,2582]/[LCM of 404,3923]= 2/1584892

Therefore, the GCF of 7024/404,2582/3923 is 2/1584892.

Greatest Common Factor of 7024,2582

To find the highest common factor of 7024,2582, we have to find the factors of both numbers and list the highest common factor.

The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

The factors of 2582 are 1, 2, 1291, 2582

The HCF of 7024,2582 is 2.

Lets's calculate GCF of 7024,2582

Greatest Common Factor (GCF) of 7024,2582 By Common Division

2	7024, 2582
	3512, 1291

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

Greatest Common Factor of 7024,2582 By Matching Biggest Common Factor Method

Now, list down the factors of 7024

1,2,4,8,16,439,878,1756,3512,7024

Now, list down the factors of 2582

1,2,1291,2582

Greatest Common Factor

We found the factors 7024,2582 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,2582 is 2.

Lets's calculate LCM of 404,3923

Lowest Common Multiple of 404,3923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1584892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1584892

Therefore, the GCF of Fractions 7024/404,2582/3923 is 2/1584892

Least Common Multiple of 404,3923 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 404,3923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,3923) = 1

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

GCF(404,3923) x common factors =1 x 1 = 1

LCM(404,3923) = ( 404 × 3923 ) / 1

LCM(404,3923) = 1584892 / 1

LCM(404,3923) = 1584892

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FAQs on GCF of Fractions of 7024/404, 2582/3923

1. What is the HCF of 7024,2582?

The HCF of 7024,2582 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 7024/404, 2582/3923?

Answer: GCF of Numerators as per given numbers 7024/404, 2582/3923 is

GCF of Numerators i.e. for 7024,2582 is 2

LCM of denominators i.e. for 404,3923 is 1584892.

Thus, GCF of Fractions is 2/1584892.Finally, GCF of Fractions for 7024/404, 2582/3923 is 2/1584892.