Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3284/59,4217/967
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 3284,4217
Greatest Common Factor of Numerators i.e. GCF of 3284,4217 is 1 .
LCM of Denominators means LCM of 59,967 as per the given fractions.
LCM of 59,967 is 57053 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3284,4217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3284
List of positive integer factors of 3284 that divides 3284 without a remainder.
1,2,4,821,1642,3284
Factors of 4217
List of positive integer factors of 4217 that divides 4217 without a remainder.
1,4217
Greatest Common Factor
We found the factors 3284,4217 . The biggest common factor number is the GCF number.
So the greatest common factor 3284,4217 is 1.
Lets's calculate LCM of 59,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 57053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57053
Therefore, the GCF of Fractions 3284/59,4217/967 is 1/57053
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 59,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,967) x common factors =1 x 1 = 1
LCM(59,967) = ( 59 × 967 ) / 1
LCM(59,967) = 57053 / 1
LCM(59,967) = 57053
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 3284/59, 4217/967?
Answer: GCF of Numerators as per given numbers 3284/59, 4217/967 is
GCF of Numerators i.e. for 3284,4217 is 1
LCM of denominators i.e. for 59,967 is 57053.
Thus, GCF of Fractions is 1/57053.Finally, GCF of Fractions for 3284/59, 4217/967 is 1/57053.