Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1405/101,6371/763
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 1405,6371
Greatest Common Factor of Numerators i.e. GCF of 1405,6371 is 1 .
LCM of Denominators means LCM of 101,763 as per the given fractions.
LCM of 101,763 is 77063 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1405,6371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1405
List of positive integer factors of 1405 that divides 1405 without a remainder.
1,5,281,1405
Factors of 6371
List of positive integer factors of 6371 that divides 6371 without a remainder.
1,23,277,6371
Greatest Common Factor
We found the factors 1405,6371 . The biggest common factor number is the GCF number.
So the greatest common factor 1405,6371 is 1.
Lets's calculate LCM of 101,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 77063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77063
Therefore, the GCF of Fractions 1405/101,6371/763 is 1/77063
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 101,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,763) x common factors =1 x 1 = 1
LCM(101,763) = ( 101 × 763 ) / 1
LCM(101,763) = 77063 / 1
LCM(101,763) = 77063
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 1405/101, 6371/763?
Answer: GCF of Numerators as per given numbers 1405/101, 6371/763 is
GCF of Numerators i.e. for 1405,6371 is 1
LCM of denominators i.e. for 101,763 is 77063.
Thus, GCF of Fractions is 1/77063.Finally, GCF of Fractions for 1405/101, 6371/763 is 1/77063.