How to Find GCF of 7522/335, 9640/7242?

GCF of 7522/335, 9640/7242

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 7522/335, 9640/7242 i.e 2/2426070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7522/335, 9640/7242.

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 7522/335,9640/7242?

Given fractions are 7522/335,9640/7242

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 7522/335,9640/7242, numerators are 7522,9640

Denominators are 335,7242

The GCF of 7522,9640 is 2 .

LCM of 335,7242 is 2426070.

The greatest common factor of 7522/335,9640/7242 = [GCF of 7522,9640]/[LCM of 335,7242]= 2/2426070

Therefore, the GCF of 7522/335,9640/7242 is 2/2426070.

Greatest Common Factor of 7522,9640

To find the highest common factor of 7522,9640, we have to find the factors of both numbers and list the highest common factor.

The factors of 7522 are 1, 2, 3761, 7522

The factors of 9640 are 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640

The HCF of 7522,9640 is 2.

Lets's calculate GCF of 7522,9640

Greatest Common Factor (GCF) of 7522,9640 By Common Division

2	7522, 9640
	3761, 4820

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

Greatest Common Factor of 7522,9640 By Matching Biggest Common Factor Method

Now, list down the factors of 7522

1,2,3761,7522

Now, list down the factors of 9640

1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640

Greatest Common Factor

We found the factors 7522,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 7522,9640 is 2.

Lets's calculate LCM of 335,7242

Lowest Common Multiple of 335,7242 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2426070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2426070

Therefore, the GCF of Fractions 7522/335,9640/7242 is 2/2426070

Least Common Multiple of 335,7242 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 335,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,7242) = 1

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

GCF(335,7242) x common factors =1 x 1 = 1

LCM(335,7242) = ( 335 × 7242 ) / 1

LCM(335,7242) = 2426070 / 1

LCM(335,7242) = 2426070

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7522/335, 9640/7242

1. What is the HCF of 7522,9640?

The HCF of 7522,9640 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 7522/335, 9640/7242?

Answer: GCF of Numerators as per given numbers 7522/335, 9640/7242 is

GCF of Numerators i.e. for 7522,9640 is 2

LCM of denominators i.e. for 335,7242 is 2426070.

Thus, GCF of Fractions is 2/2426070.Finally, GCF of Fractions for 7522/335, 9640/7242 is 2/2426070.