Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/64,2219/201
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 962,2219
Greatest Common Factor of Numerators i.e. GCF of 962,2219 is 1 .
LCM of Denominators means LCM of 64,201 as per the given fractions.
LCM of 64,201 is 12864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,2219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 2219
List of positive integer factors of 2219 that divides 2219 without a remainder.
1,7,317,2219
Greatest Common Factor
We found the factors 962,2219 . The biggest common factor number is the GCF number.
So the greatest common factor 962,2219 is 1.
Lets's calculate LCM of 64,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 12864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12864
Therefore, the GCF of Fractions 962/64,2219/201 is 1/12864
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 64,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,201) x common factors =1 x 1 = 1
LCM(64,201) = ( 64 × 201 ) / 1
LCM(64,201) = 12864 / 1
LCM(64,201) = 12864
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 962/64, 2219/201?
Answer: GCF of Numerators as per given numbers 962/64, 2219/201 is
GCF of Numerators i.e. for 962,2219 is 1
LCM of denominators i.e. for 64,201 is 12864.
Thus, GCF of Fractions is 1/12864.Finally, GCF of Fractions for 962/64, 2219/201 is 1/12864.