Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4022/129,2761/6095
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 4022,2761
Greatest Common Factor of Numerators i.e. GCF of 4022,2761 is 1 .
LCM of Denominators means LCM of 129,6095 as per the given fractions.
LCM of 129,6095 is 786255 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4022,2761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1,2,2011,4022
Factors of 2761
List of positive integer factors of 2761 that divides 2761 without a remainder.
1,11,251,2761
Greatest Common Factor
We found the factors 4022,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 4022,2761 is 1.
Lets's calculate LCM of 129,6095
Given numbers has no common factors except 1. So, there LCM is their product i.e 786255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786255
Therefore, the GCF of Fractions 4022/129,2761/6095 is 1/786255
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 129,6095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,6095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,6095) x common factors =1 x 1 = 1
LCM(129,6095) = ( 129 × 6095 ) / 1
LCM(129,6095) = 786255 / 1
LCM(129,6095) = 786255
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 4022/129, 2761/6095?
Answer: GCF of Numerators as per given numbers 4022/129, 2761/6095 is
GCF of Numerators i.e. for 4022,2761 is 1
LCM of denominators i.e. for 129,6095 is 786255.
Thus, GCF of Fractions is 1/786255.Finally, GCF of Fractions for 4022/129, 2761/6095 is 1/786255.