Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8642/357,9782/2587
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 8642,9782
Greatest Common Factor of Numerators i.e. GCF of 8642,9782 is 2 .
LCM of Denominators means LCM of 357,2587 as per the given fractions.
LCM of 357,2587 is 923559 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8642,9782
2 | 8642, 9782 |
4321, 4891 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1,2,29,58,149,298,4321,8642
Factors of 9782
List of positive integer factors of 9782 that divides 9782 without a remainder.
1,2,67,73,134,146,4891,9782
Greatest Common Factor
We found the factors 8642,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 8642,9782 is 2.
Lets's calculate LCM of 357,2587
Given numbers has no common factors except 1. So, there LCM is their product i.e 923559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/923559
Therefore, the GCF of Fractions 8642/357,9782/2587 is 2/923559
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 357,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,2587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,2587) x common factors =1 x 1 = 1
LCM(357,2587) = ( 357 × 2587 ) / 1
LCM(357,2587) = 923559 / 1
LCM(357,2587) = 923559
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 8642/357, 9782/2587?
Answer: GCF of Numerators as per given numbers 8642/357, 9782/2587 is
GCF of Numerators i.e. for 8642,9782 is 2
LCM of denominators i.e. for 357,2587 is 923559.
Thus, GCF of Fractions is 2/923559.Finally, GCF of Fractions for 8642/357, 9782/2587 is 2/923559.