Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2889/59,6318/383
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 2889,6318
Greatest Common Factor of Numerators i.e. GCF of 2889,6318 is 27 .
LCM of Denominators means LCM of 59,383 as per the given fractions.
LCM of 59,383 is 22597 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2889,6318
3 | 2889, 6318 |
3 | 963, 2106 |
3 | 321, 702 |
107, 234 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 2889
List of positive integer factors of 2889 that divides 2889 without a remainder.
1,3,9,27,107,321,963,2889
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Greatest Common Factor
We found the factors 2889,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 2889,6318 is 27.
Lets's calculate LCM of 59,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 22597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/22597
Therefore, the GCF of Fractions 2889/59,6318/383 is 27/22597
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 59,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,383) x common factors =1 x 1 = 1
LCM(59,383) = ( 59 × 383 ) / 1
LCM(59,383) = 22597 / 1
LCM(59,383) = 22597
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 2889/59, 6318/383?
Answer: GCF of Numerators as per given numbers 2889/59, 6318/383 is
GCF of Numerators i.e. for 2889,6318 is 27
LCM of denominators i.e. for 59,383 is 22597.
Thus, GCF of Fractions is 27/22597.Finally, GCF of Fractions for 2889/59, 6318/383 is 27/22597.