Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/32,952/37,168/894
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 461,952,168
Greatest Common Factor of Numerators i.e. GCF of 461,952,168 is 1 .
LCM of Denominators means LCM of 32,37,894 as per the given fractions.
LCM of 32,37,894 is 529248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 461,952,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 461,952,168 . The biggest common factor number is the GCF number.
So the greatest common factor 461,952,168 is 1.
Lets's calculate LCM of 32,37,894
2 | 32, 37, 894 |
16, 37, 447 |
∴ So the LCM of the given numbers is 2 x 16 x 37 x 447 = 529248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529248
Therefore, the GCF of Fractions 461/32,952/37,168/894 is 1/529248
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 32,37,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,37,894) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,37,894) x common factors =1 x 2 = 2
LCM(32,37,894) = ( 32 × 37 × 894 ) / 2
LCM(32,37,894) = 1058496 / 2
LCM(32,37,894) = 529248
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 461/32, 952/37, 168/894?
Answer: GCF of Numerators as per given numbers 461/32, 952/37, 168/894 is
GCF of Numerators i.e. for 461,952,168 is 1
LCM of denominators i.e. for 32,37,894 is 529248.
Thus, GCF of Fractions is 1/529248.Finally, GCF of Fractions for 461/32, 952/37, 168/894 is 1/529248.