Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/409,852/791,269/491
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 64,852,269
Greatest Common Factor of Numerators i.e. GCF of 64,852,269 is 1 .
LCM of Denominators means LCM of 409,791,491 as per the given fractions.
LCM of 409,791,491 is 158847829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,852,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 64,852,269 . The biggest common factor number is the GCF number.
So the greatest common factor 64,852,269 is 1.
Lets's calculate LCM of 409,791,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 158847829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158847829
Therefore, the GCF of Fractions 64/409,852/791,269/491 is 1/158847829
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 409,791,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,791,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,791,491) x common factors =1 x 1 = 1
LCM(409,791,491) = ( 409 × 791 × 491 ) / 1
LCM(409,791,491) = 158847829 / 1
LCM(409,791,491) = 158847829
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 64/409, 852/791, 269/491?
Answer: GCF of Numerators as per given numbers 64/409, 852/791, 269/491 is
GCF of Numerators i.e. for 64,852,269 is 1
LCM of denominators i.e. for 409,791,491 is 158847829.
Thus, GCF of Fractions is 1/158847829.Finally, GCF of Fractions for 64/409, 852/791, 269/491 is 1/158847829.