Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3862/15,3460/301
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 3862,3460
Greatest Common Factor of Numerators i.e. GCF of 3862,3460 is 2 .
LCM of Denominators means LCM of 15,301 as per the given fractions.
LCM of 15,301 is 4515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3862,3460
2 | 3862, 3460 |
1931, 1730 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3862
List of positive integer factors of 3862 that divides 3862 without a remainder.
1,2,1931,3862
Factors of 3460
List of positive integer factors of 3460 that divides 3460 without a remainder.
1,2,4,5,10,20,173,346,692,865,1730,3460
Greatest Common Factor
We found the factors 3862,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 3862,3460 is 2.
Lets's calculate LCM of 15,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 4515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4515
Therefore, the GCF of Fractions 3862/15,3460/301 is 2/4515
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 15,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,301) x common factors =1 x 1 = 1
LCM(15,301) = ( 15 × 301 ) / 1
LCM(15,301) = 4515 / 1
LCM(15,301) = 4515
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 3862/15, 3460/301?
Answer: GCF of Numerators as per given numbers 3862/15, 3460/301 is
GCF of Numerators i.e. for 3862,3460 is 2
LCM of denominators i.e. for 15,301 is 4515.
Thus, GCF of Fractions is 2/4515.Finally, GCF of Fractions for 3862/15, 3460/301 is 2/4515.