Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 642/40,968/8449
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 642,968
Greatest Common Factor of Numerators i.e. GCF of 642,968 is 2 .
LCM of Denominators means LCM of 40,8449 as per the given fractions.
LCM of 40,8449 is 337960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 642,968
2 | 642, 968 |
321, 484 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 642,968 . The biggest common factor number is the GCF number.
So the greatest common factor 642,968 is 2.
Lets's calculate LCM of 40,8449
Given numbers has no common factors except 1. So, there LCM is their product i.e 337960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/337960
Therefore, the GCF of Fractions 642/40,968/8449 is 2/337960
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 40,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,8449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,8449) x common factors =1 x 1 = 1
LCM(40,8449) = ( 40 × 8449 ) / 1
LCM(40,8449) = 337960 / 1
LCM(40,8449) = 337960
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 642/40, 968/8449?
Answer: GCF of Numerators as per given numbers 642/40, 968/8449 is
GCF of Numerators i.e. for 642,968 is 2
LCM of denominators i.e. for 40,8449 is 337960.
Thus, GCF of Fractions is 2/337960.Finally, GCF of Fractions for 642/40, 968/8449 is 2/337960.