Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4567/74,9664/315
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 4567,9664
Greatest Common Factor of Numerators i.e. GCF of 4567,9664 is 1 .
LCM of Denominators means LCM of 74,315 as per the given fractions.
LCM of 74,315 is 23310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4567,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4567
List of positive integer factors of 4567 that divides 4567 without a remainder.
1,4567
Factors of 9664
List of positive integer factors of 9664 that divides 9664 without a remainder.
1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 4567,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 4567,9664 is 1.
Lets's calculate LCM of 74,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 23310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23310
Therefore, the GCF of Fractions 4567/74,9664/315 is 1/23310
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 74,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,315) x common factors =1 x 1 = 1
LCM(74,315) = ( 74 × 315 ) / 1
LCM(74,315) = 23310 / 1
LCM(74,315) = 23310
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 4567/74, 9664/315?
Answer: GCF of Numerators as per given numbers 4567/74, 9664/315 is
GCF of Numerators i.e. for 4567,9664 is 1
LCM of denominators i.e. for 74,315 is 23310.
Thus, GCF of Fractions is 1/23310.Finally, GCF of Fractions for 4567/74, 9664/315 is 1/23310.