Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1972/799,4201/166
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 1972,4201
Greatest Common Factor of Numerators i.e. GCF of 1972,4201 is 1 .
LCM of Denominators means LCM of 799,166 as per the given fractions.
LCM of 799,166 is 132634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1972,4201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1972
List of positive integer factors of 1972 that divides 1972 without a remainder.
1,2,4,17,29,34,58,68,116,493,986,1972
Factors of 4201
List of positive integer factors of 4201 that divides 4201 without a remainder.
1,4201
Greatest Common Factor
We found the factors 1972,4201 . The biggest common factor number is the GCF number.
So the greatest common factor 1972,4201 is 1.
Lets's calculate LCM of 799,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 132634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132634
Therefore, the GCF of Fractions 1972/799,4201/166 is 1/132634
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 799,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,166) x common factors =1 x 1 = 1
LCM(799,166) = ( 799 × 166 ) / 1
LCM(799,166) = 132634 / 1
LCM(799,166) = 132634
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 1972/799, 4201/166?
Answer: GCF of Numerators as per given numbers 1972/799, 4201/166 is
GCF of Numerators i.e. for 1972,4201 is 1
LCM of denominators i.e. for 799,166 is 132634.
Thus, GCF of Fractions is 1/132634.Finally, GCF of Fractions for 1972/799, 4201/166 is 1/132634.