How to Find GCF of 1802/466, 7406/9663?

GCF of 1802/466, 7406/9663

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 1802/466, 7406/9663 i.e 2/4502958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1802/466, 7406/9663.

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 1802/466,7406/9663?

Given fractions are 1802/466,7406/9663

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 1802/466,7406/9663, numerators are 1802,7406

Denominators are 466,9663

The GCF of 1802,7406 is 2 .

LCM of 466,9663 is 4502958.

The greatest common factor of 1802/466,7406/9663 = [GCF of 1802,7406]/[LCM of 466,9663]= 2/4502958

Therefore, the GCF of 1802/466,7406/9663 is 2/4502958.

Greatest Common Factor of 1802,7406

To find the highest common factor of 1802,7406, we have to find the factors of both numbers and list the highest common factor.

The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802

The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406

The HCF of 1802,7406 is 2.

Lets's calculate GCF of 1802,7406

Greatest Common Factor (GCF) of 1802,7406 By Common Division

2	1802, 7406
	901, 3703

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

Greatest Common Factor of 1802,7406 By Matching Biggest Common Factor Method

Now, list down the factors of 1802

1,2,17,34,53,106,901,1802

Now, list down the factors of 7406

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors 1802,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 1802,7406 is 2.

Lets's calculate LCM of 466,9663

Lowest Common Multiple of 466,9663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4502958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4502958

Therefore, the GCF of Fractions 1802/466,7406/9663 is 2/4502958

Least Common Multiple of 466,9663 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 466,9663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,9663) = 1

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

GCF(466,9663) x common factors =1 x 1 = 1

LCM(466,9663) = ( 466 × 9663 ) / 1

LCM(466,9663) = 4502958 / 1

LCM(466,9663) = 4502958

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FAQs on GCF of Fractions of 1802/466, 7406/9663

1. What is the HCF of 1802,7406?

The HCF of 1802,7406 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 1802/466, 7406/9663?

Answer: GCF of Numerators as per given numbers 1802/466, 7406/9663 is

GCF of Numerators i.e. for 1802,7406 is 2

LCM of denominators i.e. for 466,9663 is 4502958.

Thus, GCF of Fractions is 2/4502958.Finally, GCF of Fractions for 1802/466, 7406/9663 is 2/4502958.