Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3709/162,9154/3959
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 3709,9154
Greatest Common Factor of Numerators i.e. GCF of 3709,9154 is 1 .
LCM of Denominators means LCM of 162,3959 as per the given fractions.
LCM of 162,3959 is 641358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3709,9154
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3709
List of positive integer factors of 3709 that divides 3709 without a remainder.
1,3709
Factors of 9154
List of positive integer factors of 9154 that divides 9154 without a remainder.
1,2,23,46,199,398,4577,9154
Greatest Common Factor
We found the factors 3709,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,9154 is 1.
Lets's calculate LCM of 162,3959
Given numbers has no common factors except 1. So, there LCM is their product i.e 641358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641358
Therefore, the GCF of Fractions 3709/162,9154/3959 is 1/641358
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 162,3959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3959) x common factors =1 x 1 = 1
LCM(162,3959) = ( 162 × 3959 ) / 1
LCM(162,3959) = 641358 / 1
LCM(162,3959) = 641358
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 3709/162, 9154/3959?
Answer: GCF of Numerators as per given numbers 3709/162, 9154/3959 is
GCF of Numerators i.e. for 3709,9154 is 1
LCM of denominators i.e. for 162,3959 is 641358.
Thus, GCF of Fractions is 1/641358.Finally, GCF of Fractions for 3709/162, 9154/3959 is 1/641358.