Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 101/119,365/704
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 101,365
Greatest Common Factor of Numerators i.e. GCF of 101,365 is 1 .
LCM of Denominators means LCM of 119,704 as per the given fractions.
LCM of 119,704 is 83776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 101,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 101,365 . The biggest common factor number is the GCF number.
So the greatest common factor 101,365 is 1.
Lets's calculate LCM of 119,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 83776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83776
Therefore, the GCF of Fractions 101/119,365/704 is 1/83776
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 119,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,704) x common factors =1 x 1 = 1
LCM(119,704) = ( 119 × 704 ) / 1
LCM(119,704) = 83776 / 1
LCM(119,704) = 83776
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 101/119, 365/704?
Answer: GCF of Numerators as per given numbers 101/119, 365/704 is
GCF of Numerators i.e. for 101,365 is 1
LCM of denominators i.e. for 119,704 is 83776.
Thus, GCF of Fractions is 1/83776.Finally, GCF of Fractions for 101/119, 365/704 is 1/83776.