Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4070/27,6582/839
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 4070,6582
Greatest Common Factor of Numerators i.e. GCF of 4070,6582 is 2 .
LCM of Denominators means LCM of 27,839 as per the given fractions.
LCM of 27,839 is 22653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4070,6582
2 | 4070, 6582 |
2035, 3291 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4070
List of positive integer factors of 4070 that divides 4070 without a remainder.
1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070
Factors of 6582
List of positive integer factors of 6582 that divides 6582 without a remainder.
1,2,3,6,1097,2194,3291,6582
Greatest Common Factor
We found the factors 4070,6582 . The biggest common factor number is the GCF number.
So the greatest common factor 4070,6582 is 2.
Lets's calculate LCM of 27,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 22653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22653
Therefore, the GCF of Fractions 4070/27,6582/839 is 2/22653
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 27,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,839) x common factors =1 x 1 = 1
LCM(27,839) = ( 27 × 839 ) / 1
LCM(27,839) = 22653 / 1
LCM(27,839) = 22653
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 4070/27, 6582/839?
Answer: GCF of Numerators as per given numbers 4070/27, 6582/839 is
GCF of Numerators i.e. for 4070,6582 is 2
LCM of denominators i.e. for 27,839 is 22653.
Thus, GCF of Fractions is 2/22653.Finally, GCF of Fractions for 4070/27, 6582/839 is 2/22653.