How to Find GCF of 6490/730, 7422/7501?

GCF of 6490/730, 7422/7501

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 6490/730, 7422/7501 i.e 2/5475730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6490/730, 7422/7501.

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 6490/730,7422/7501?

Given fractions are 6490/730,7422/7501

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 6490/730,7422/7501, numerators are 6490,7422

Denominators are 730,7501

The GCF of 6490,7422 is 2 .

LCM of 730,7501 is 5475730.

The greatest common factor of 6490/730,7422/7501 = [GCF of 6490,7422]/[LCM of 730,7501]= 2/5475730

Therefore, the GCF of 6490/730,7422/7501 is 2/5475730.

Greatest Common Factor of 6490,7422

To find the highest common factor of 6490,7422, we have to find the factors of both numbers and list the highest common factor.

The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490

The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422

The HCF of 6490,7422 is 2.

Lets's calculate GCF of 6490,7422

Greatest Common Factor (GCF) of 6490,7422 By Common Division

2	6490, 7422
	3245, 3711

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

Greatest Common Factor of 6490,7422 By Matching Biggest Common Factor Method

Now, list down the factors of 6490

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Now, list down the factors of 7422

1,2,3,6,1237,2474,3711,7422

Greatest Common Factor

We found the factors 6490,7422 . The biggest common factor number is the GCF number.
So the greatest common factor 6490,7422 is 2.

Lets's calculate LCM of 730,7501

Lowest Common Multiple of 730,7501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5475730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5475730

Therefore, the GCF of Fractions 6490/730,7422/7501 is 2/5475730

Least Common Multiple of 730,7501 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 730,7501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,7501) = 1

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

GCF(730,7501) x common factors =1 x 1 = 1

LCM(730,7501) = ( 730 × 7501 ) / 1

LCM(730,7501) = 5475730 / 1

LCM(730,7501) = 5475730

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6490/730, 7422/7501

1. What is the HCF of 6490,7422?

The HCF of 6490,7422 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 6490/730, 7422/7501?

Answer: GCF of Numerators as per given numbers 6490/730, 7422/7501 is

GCF of Numerators i.e. for 6490,7422 is 2

LCM of denominators i.e. for 730,7501 is 5475730.

Thus, GCF of Fractions is 2/5475730.Finally, GCF of Fractions for 6490/730, 7422/7501 is 2/5475730.