How to Find GCF of 7580/601, 2326/6821?

GCF of 7580/601, 2326/6821

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 7580/601, 2326/6821 i.e 2/4099421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7580/601, 2326/6821.

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 7580/601,2326/6821?

Given fractions are 7580/601,2326/6821

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 7580/601,2326/6821, numerators are 7580,2326

Denominators are 601,6821

The GCF of 7580,2326 is 2 .

LCM of 601,6821 is 4099421.

The greatest common factor of 7580/601,2326/6821 = [GCF of 7580,2326]/[LCM of 601,6821]= 2/4099421

Therefore, the GCF of 7580/601,2326/6821 is 2/4099421.

Greatest Common Factor of 7580,2326

To find the highest common factor of 7580,2326, we have to find the factors of both numbers and list the highest common factor.

The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

The factors of 2326 are 1, 2, 1163, 2326

The HCF of 7580,2326 is 2.

Lets's calculate GCF of 7580,2326

Greatest Common Factor (GCF) of 7580,2326 By Common Division

2	7580, 2326
	3790, 1163

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

Greatest Common Factor of 7580,2326 By Matching Biggest Common Factor Method

Now, list down the factors of 7580

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Now, list down the factors of 2326

1,2,1163,2326

Greatest Common Factor

We found the factors 7580,2326 . The biggest common factor number is the GCF number.
So the greatest common factor 7580,2326 is 2.

Lets's calculate LCM of 601,6821

Lowest Common Multiple of 601,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4099421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4099421

Therefore, the GCF of Fractions 7580/601,2326/6821 is 2/4099421

Least Common Multiple of 601,6821 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 601,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,6821) = 1

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

GCF(601,6821) x common factors =1 x 1 = 1

LCM(601,6821) = ( 601 × 6821 ) / 1

LCM(601,6821) = 4099421 / 1

LCM(601,6821) = 4099421

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FAQs on GCF of Fractions of 7580/601, 2326/6821

1. What is the HCF of 7580,2326?

The HCF of 7580,2326 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 7580/601, 2326/6821?

Answer: GCF of Numerators as per given numbers 7580/601, 2326/6821 is

GCF of Numerators i.e. for 7580,2326 is 2

LCM of denominators i.e. for 601,6821 is 4099421.

Thus, GCF of Fractions is 2/4099421.Finally, GCF of Fractions for 7580/601, 2326/6821 is 2/4099421.