Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8732/58,5764/441
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 8732,5764
Greatest Common Factor of Numerators i.e. GCF of 8732,5764 is 4 .
LCM of Denominators means LCM of 58,441 as per the given fractions.
LCM of 58,441 is 25578 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8732,5764
2 | 8732, 5764 |
2 | 4366, 2882 |
2183, 1441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8732
List of positive integer factors of 8732 that divides 8732 without a remainder.
1,2,4,37,59,74,118,148,236,2183,4366,8732
Factors of 5764
List of positive integer factors of 5764 that divides 5764 without a remainder.
1,2,4,11,22,44,131,262,524,1441,2882,5764
Greatest Common Factor
We found the factors 8732,5764 . The biggest common factor number is the GCF number.
So the greatest common factor 8732,5764 is 4.
Lets's calculate LCM of 58,441
Given numbers has no common factors except 1. So, there LCM is their product i.e 25578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25578
Therefore, the GCF of Fractions 8732/58,5764/441 is 4/25578
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 58,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,441) x common factors =1 x 1 = 1
LCM(58,441) = ( 58 × 441 ) / 1
LCM(58,441) = 25578 / 1
LCM(58,441) = 25578
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 8732/58, 5764/441?
Answer: GCF of Numerators as per given numbers 8732/58, 5764/441 is
GCF of Numerators i.e. for 8732,5764 is 4
LCM of denominators i.e. for 58,441 is 25578.
Thus, GCF of Fractions is 4/25578.Finally, GCF of Fractions for 8732/58, 5764/441 is 4/25578.