Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/770,911/481,644/401
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 32,911,644
Greatest Common Factor of Numerators i.e. GCF of 32,911,644 is 1 .
LCM of Denominators means LCM of 770,481,401 as per the given fractions.
LCM of 770,481,401 is 148518370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,911,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 32,911,644 . The biggest common factor number is the GCF number.
So the greatest common factor 32,911,644 is 1.
Lets's calculate LCM of 770,481,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 148518370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148518370
Therefore, the GCF of Fractions 32/770,911/481,644/401 is 1/148518370
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 770,481,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,481,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,481,401) x common factors =1 x 1 = 1
LCM(770,481,401) = ( 770 × 481 × 401 ) / 1
LCM(770,481,401) = 148518370 / 1
LCM(770,481,401) = 148518370
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 32/770, 911/481, 644/401?
Answer: GCF of Numerators as per given numbers 32/770, 911/481, 644/401 is
GCF of Numerators i.e. for 32,911,644 is 1
LCM of denominators i.e. for 770,481,401 is 148518370.
Thus, GCF of Fractions is 1/148518370.Finally, GCF of Fractions for 32/770, 911/481, 644/401 is 1/148518370.