Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6322/402,5576/457
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 6322,5576
Greatest Common Factor of Numerators i.e. GCF of 6322,5576 is 2 .
LCM of Denominators means LCM of 402,457 as per the given fractions.
LCM of 402,457 is 183714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6322,5576
2 | 6322, 5576 |
3161, 2788 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6322
List of positive integer factors of 6322 that divides 6322 without a remainder.
1,2,29,58,109,218,3161,6322
Factors of 5576
List of positive integer factors of 5576 that divides 5576 without a remainder.
1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Greatest Common Factor
We found the factors 6322,5576 . The biggest common factor number is the GCF number.
So the greatest common factor 6322,5576 is 2.
Lets's calculate LCM of 402,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 183714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/183714
Therefore, the GCF of Fractions 6322/402,5576/457 is 2/183714
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 402,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,457) x common factors =1 x 1 = 1
LCM(402,457) = ( 402 × 457 ) / 1
LCM(402,457) = 183714 / 1
LCM(402,457) = 183714
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 6322/402, 5576/457?
Answer: GCF of Numerators as per given numbers 6322/402, 5576/457 is
GCF of Numerators i.e. for 6322,5576 is 2
LCM of denominators i.e. for 402,457 is 183714.
Thus, GCF of Fractions is 2/183714.Finally, GCF of Fractions for 6322/402, 5576/457 is 2/183714.