Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/12,468/31,445/965
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 382,468,445
Greatest Common Factor of Numerators i.e. GCF of 382,468,445 is 1 .
LCM of Denominators means LCM of 12,31,965 as per the given fractions.
LCM of 12,31,965 is 358980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,468,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 382,468,445 . The biggest common factor number is the GCF number.
So the greatest common factor 382,468,445 is 1.
Lets's calculate LCM of 12,31,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 358980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358980
Therefore, the GCF of Fractions 382/12,468/31,445/965 is 1/358980
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 12,31,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,31,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,31,965) x common factors =1 x 1 = 1
LCM(12,31,965) = ( 12 × 31 × 965 ) / 1
LCM(12,31,965) = 358980 / 1
LCM(12,31,965) = 358980
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 382/12, 468/31, 445/965?
Answer: GCF of Numerators as per given numbers 382/12, 468/31, 445/965 is
GCF of Numerators i.e. for 382,468,445 is 1
LCM of denominators i.e. for 12,31,965 is 358980.
Thus, GCF of Fractions is 1/358980.Finally, GCF of Fractions for 382/12, 468/31, 445/965 is 1/358980.