Greatest Common Factor of 6433/494, 7280/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6433/494, 7280/215

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 6433/494,7280/215

Given fractions are 6433/494,7280/215

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 6433,7280

Greatest Common Factor of Numerators i.e. GCF of 6433,7280 is 7 .

LCM of Denominators means LCM of 494,215 as per the given fractions.

LCM of 494,215 is 106210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6433,7280

GCF of Fractions 6433/494,7280/215 is 7/106210

7 6433, 7280
919, 1040

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6433,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 6433,7280 By Matching Biggest Common Factor Method

Factors of 6433

List of positive integer factors of 6433 that divides 6433 without a remainder.

1,7,919,6433

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 6433,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 6433,7280 is 7.

Lets's calculate LCM of 494,215

Given numbers has no common factors except 1. So, there LCM is their product i.e 106210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/106210

Therefore, the GCF of Fractions 6433/494,7280/215 is 7/106210

Least Common Multiple of 494,215 with GCF Formula

Least Common Multiple of 494,215 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 494,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,215) = 1

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

GCF(494,215) x common factors =1 x 1 = 1

LCM(494,215) = ( 494 × 215 ) / 1

LCM(494,215) = 106210 / 1

LCM(494,215) = 106210


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6433/494, 7280/215

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 6433/494, 7280/215?

Answer: GCF of Numerators as per given numbers 6433/494, 7280/215 is

GCF of Numerators i.e. for 6433,7280 is 7

LCM of denominators i.e. for 494,215 is 106210.

Thus, GCF of Fractions is 7/106210.Finally, GCF of Fractions for 6433/494, 7280/215 is 7/106210.