How to Find GCF of 2584/640, 4040/734?

GCF of 2584/640, 4040/734

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 2584/640, 4040/734 i.e 8/234880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2584/640, 4040/734.

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 2584/640,4040/734?

Given fractions are 2584/640,4040/734

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 2584/640,4040/734, numerators are 2584,4040

Denominators are 640,734

The GCF of 2584,4040 is 8 .

LCM of 640,734 is 234880.

The greatest common factor of 2584/640,4040/734 = [GCF of 2584,4040]/[LCM of 640,734]= 8/234880

Therefore, the GCF of 2584/640,4040/734 is 8/234880.

Greatest Common Factor of 2584,4040

To find the highest common factor of 2584,4040, we have to find the factors of both numbers and list the highest common factor.

The factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

The HCF of 2584,4040 is 8.

Lets's calculate GCF of 2584,4040

Greatest Common Factor (GCF) of 2584,4040 By Common Division

2	2584, 4040
2	1292, 2020
2	646, 1010
	323, 505

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2584,4040 By Matching Biggest Common Factor Method

Now, list down the factors of 2584

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Now, list down the factors of 4040

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors 2584,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 2584,4040 is 8.

Lets's calculate LCM of 640,734

Lowest Common Multiple of 640,734 using Common Division

2	640, 734
	320, 367

∴ So the LCM of the given numbers is 2 x 320 x 367 = 234880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/234880

Therefore, the GCF of Fractions 2584/640,4040/734 is 8/234880

Least Common Multiple of 640,734 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 640,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,734) = 2

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

GCF(640,734) x common factors =2 x 1 = 2

LCM(640,734) = ( 640 × 734 ) / 2

LCM(640,734) = 469760 / 2

LCM(640,734) = 234880

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FAQs on GCF of Fractions of 2584/640, 4040/734

1. What is the HCF of 2584,4040?

The HCF of 2584,4040 is 8

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 2584/640, 4040/734?

Answer: GCF of Numerators as per given numbers 2584/640, 4040/734 is

GCF of Numerators i.e. for 2584,4040 is 8

LCM of denominators i.e. for 640,734 is 234880.

Thus, GCF of Fractions is 8/234880.Finally, GCF of Fractions for 2584/640, 4040/734 is 8/234880.