Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/37,527/21,202/913
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 951,527,202
Greatest Common Factor of Numerators i.e. GCF of 951,527,202 is 1 .
LCM of Denominators means LCM of 37,21,913 as per the given fractions.
LCM of 37,21,913 is 709401 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 951,527,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 951,527,202 . The biggest common factor number is the GCF number.
So the greatest common factor 951,527,202 is 1.
Lets's calculate LCM of 37,21,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 709401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709401
Therefore, the GCF of Fractions 951/37,527/21,202/913 is 1/709401
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 37,21,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,21,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,21,913) x common factors =1 x 1 = 1
LCM(37,21,913) = ( 37 × 21 × 913 ) / 1
LCM(37,21,913) = 709401 / 1
LCM(37,21,913) = 709401
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 951/37, 527/21, 202/913?
Answer: GCF of Numerators as per given numbers 951/37, 527/21, 202/913 is
GCF of Numerators i.e. for 951,527,202 is 1
LCM of denominators i.e. for 37,21,913 is 709401.
Thus, GCF of Fractions is 1/709401.Finally, GCF of Fractions for 951/37, 527/21, 202/913 is 1/709401.