How to Find GCF of 2340/324, 6568/824?

GCF of 2340/324, 6568/824

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 2340/324, 6568/824 i.e 4/66744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2340/324, 6568/824.

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 2340/324,6568/824?

Given fractions are 2340/324,6568/824

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 2340/324,6568/824, numerators are 2340,6568

Denominators are 324,824

The GCF of 2340,6568 is 4 .

LCM of 324,824 is 66744.

The greatest common factor of 2340/324,6568/824 = [GCF of 2340,6568]/[LCM of 324,824]= 4/66744

Therefore, the GCF of 2340/324,6568/824 is 4/66744.

Greatest Common Factor of 2340,6568

To find the highest common factor of 2340,6568, we have to find the factors of both numbers and list the highest common factor.

The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340

The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568

The HCF of 2340,6568 is 4.

Lets's calculate GCF of 2340,6568

Greatest Common Factor (GCF) of 2340,6568 By Common Division

2	2340, 6568
2	1170, 3284
	585, 1642

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2340,6568 By Matching Biggest Common Factor Method

Now, list down the factors of 2340

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Now, list down the factors of 6568

1,2,4,8,821,1642,3284,6568

Greatest Common Factor

We found the factors 2340,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 2340,6568 is 4.

Lets's calculate LCM of 324,824

Lowest Common Multiple of 324,824 using Common Division

2	324, 824
2	162, 412
	81, 206

∴ So the LCM of the given numbers is 2 x 2 x 81 x 206 = 66744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66744

Therefore, the GCF of Fractions 2340/324,6568/824 is 4/66744

Least Common Multiple of 324,824 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 324,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,824) = 4

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

GCF(324,824) x common factors =4 x 1 = 4

LCM(324,824) = ( 324 × 824 ) / 4

LCM(324,824) = 266976 / 4

LCM(324,824) = 66744

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FAQs on GCF of Fractions of 2340/324, 6568/824

1. What is the HCF of 2340,6568?

The HCF of 2340,6568 is 4

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 2340/324, 6568/824?

Answer: GCF of Numerators as per given numbers 2340/324, 6568/824 is

GCF of Numerators i.e. for 2340,6568 is 4

LCM of denominators i.e. for 324,824 is 66744.

Thus, GCF of Fractions is 4/66744.Finally, GCF of Fractions for 2340/324, 6568/824 is 4/66744.