Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6914/345,3372/8587
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 6914,3372
Greatest Common Factor of Numerators i.e. GCF of 6914,3372 is 2 .
LCM of Denominators means LCM of 345,8587 as per the given fractions.
LCM of 345,8587 is 2962515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6914,3372
2 | 6914, 3372 |
3457, 1686 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6914
List of positive integer factors of 6914 that divides 6914 without a remainder.
1,2,3457,6914
Factors of 3372
List of positive integer factors of 3372 that divides 3372 without a remainder.
1,2,3,4,6,12,281,562,843,1124,1686,3372
Greatest Common Factor
We found the factors 6914,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 6914,3372 is 2.
Lets's calculate LCM of 345,8587
Given numbers has no common factors except 1. So, there LCM is their product i.e 2962515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2962515
Therefore, the GCF of Fractions 6914/345,3372/8587 is 2/2962515
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 345,8587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,8587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,8587) x common factors =1 x 1 = 1
LCM(345,8587) = ( 345 × 8587 ) / 1
LCM(345,8587) = 2962515 / 1
LCM(345,8587) = 2962515
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 6914/345, 3372/8587?
Answer: GCF of Numerators as per given numbers 6914/345, 3372/8587 is
GCF of Numerators i.e. for 6914,3372 is 2
LCM of denominators i.e. for 345,8587 is 2962515.
Thus, GCF of Fractions is 2/2962515.Finally, GCF of Fractions for 6914/345, 3372/8587 is 2/2962515.