Greatest Common Factor of 4490/820, 8745/3266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4490/820, 8745/3266

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 4490/820,8745/3266

Given fractions are 4490/820,8745/3266

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 4490,8745

Greatest Common Factor of Numerators i.e. GCF of 4490,8745 is 5 .

LCM of Denominators means LCM of 820,3266 as per the given fractions.

LCM of 820,3266 is 1339060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4490,8745

GCF of Fractions 4490/820,8745/3266 is 5/1339060

5 4490, 8745
898, 1749

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4490,8745 By Matching Biggest Common Factor Method

Greatest Common Factor of 4490,8745 By Matching Biggest Common Factor Method

Factors of 4490

List of positive integer factors of 4490 that divides 4490 without a remainder.

1,2,5,10,449,898,2245,4490

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

Greatest Common Factor

We found the factors 4490,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 4490,8745 is 5.

Lets's calculate LCM of 820,3266

2 820, 3266
410, 1633

∴ So the LCM of the given numbers is 2 x 410 x 1633 = 1339060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1339060

Therefore, the GCF of Fractions 4490/820,8745/3266 is 5/1339060

Least Common Multiple of 820,3266 with GCF Formula

Least Common Multiple of 820,3266 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 820,3266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,3266) = 2

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

GCF(820,3266) x common factors =2 x 1 = 2

LCM(820,3266) = ( 820 × 3266 ) / 2

LCM(820,3266) = 2678120 / 2

LCM(820,3266) = 1339060


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4490/820, 8745/3266

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 4490/820, 8745/3266?

Answer: GCF of Numerators as per given numbers 4490/820, 8745/3266 is

GCF of Numerators i.e. for 4490,8745 is 5

LCM of denominators i.e. for 820,3266 is 1339060.

Thus, GCF of Fractions is 5/1339060.Finally, GCF of Fractions for 4490/820, 8745/3266 is 5/1339060.