Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6626/964,8985/153
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 6626,8985
Greatest Common Factor of Numerators i.e. GCF of 6626,8985 is 1 .
LCM of Denominators means LCM of 964,153 as per the given fractions.
LCM of 964,153 is 147492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6626,8985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1,2,3313,6626
Factors of 8985
List of positive integer factors of 8985 that divides 8985 without a remainder.
1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors 6626,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 6626,8985 is 1.
Lets's calculate LCM of 964,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 147492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147492
Therefore, the GCF of Fractions 6626/964,8985/153 is 1/147492
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 964,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,153) x common factors =1 x 1 = 1
LCM(964,153) = ( 964 × 153 ) / 1
LCM(964,153) = 147492 / 1
LCM(964,153) = 147492
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 6626/964, 8985/153?
Answer: GCF of Numerators as per given numbers 6626/964, 8985/153 is
GCF of Numerators i.e. for 6626,8985 is 1
LCM of denominators i.e. for 964,153 is 147492.
Thus, GCF of Fractions is 1/147492.Finally, GCF of Fractions for 6626/964, 8985/153 is 1/147492.