Greatest Common Factor of 3366/966, 8503/6445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3366/966, 8503/6445

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3366/966,8503/6445

Given fractions are 3366/966,8503/6445

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3366,8503

Greatest Common Factor of Numerators i.e. GCF of 3366,8503 is 11 .

LCM of Denominators means LCM of 966,6445 as per the given fractions.

LCM of 966,6445 is 6225870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3366,8503

GCF of Fractions 3366/966,8503/6445 is 11/6225870

11 3366, 8503
306, 773

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3366,8503 By Matching Biggest Common Factor Method

Greatest Common Factor of 3366,8503 By Matching Biggest Common Factor Method

Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366

Factors of 8503

List of positive integer factors of 8503 that divides 8503 without a remainder.

1,11,773,8503

Greatest Common Factor

We found the factors 3366,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 3366,8503 is 11.


Lets's calculate LCM of 966,6445

Given numbers has no common factors except 1. So, there LCM is their product i.e 6225870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6225870

Therefore, the GCF of Fractions 3366/966,8503/6445 is 11/6225870

Least Common Multiple of 966,6445 with GCF Formula

Least Common Multiple of 966,6445 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 966,6445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,6445) = 1

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

GCF(966,6445) x common factors =1 x 1 = 1

LCM(966,6445) = ( 966 × 6445 ) / 1

LCM(966,6445) = 6225870 / 1

LCM(966,6445) = 6225870


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3366/966, 8503/6445

1. 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.

2. What is the GCF of Fractions for 3366/966, 8503/6445?

Answer: GCF of Numerators as per given numbers 3366/966, 8503/6445 is

GCF of Numerators i.e. for 3366,8503 is 11

LCM of denominators i.e. for 966,6445 is 6225870.

Thus, GCF of Fractions is 11/6225870.Finally, GCF of Fractions for 3366/966, 8503/6445 is 11/6225870.