Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/649,151/285,358/631
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 462,151,358
Greatest Common Factor of Numerators i.e. GCF of 462,151,358 is 1 .
LCM of Denominators means LCM of 649,285,631 as per the given fractions.
LCM of 649,285,631 is 116712915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 462,151,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 462,151,358 . The biggest common factor number is the GCF number.
So the greatest common factor 462,151,358 is 1.
Lets's calculate LCM of 649,285,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 116712915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116712915
Therefore, the GCF of Fractions 462/649,151/285,358/631 is 1/116712915
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 649,285,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,285,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,285,631) x common factors =1 x 1 = 1
LCM(649,285,631) = ( 649 × 285 × 631 ) / 1
LCM(649,285,631) = 116712915 / 1
LCM(649,285,631) = 116712915
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 462/649, 151/285, 358/631?
Answer: GCF of Numerators as per given numbers 462/649, 151/285, 358/631 is
GCF of Numerators i.e. for 462,151,358 is 1
LCM of denominators i.e. for 649,285,631 is 116712915.
Thus, GCF of Fractions is 1/116712915.Finally, GCF of Fractions for 462/649, 151/285, 358/631 is 1/116712915.