Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/35,602/9399
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 960,602
Greatest Common Factor of Numerators i.e. GCF of 960,602 is 2 .
LCM of Denominators means LCM of 35,9399 as per the given fractions.
LCM of 35,9399 is 328965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 960,602
2 | 960, 602 |
480, 301 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 960,602 . The biggest common factor number is the GCF number.
So the greatest common factor 960,602 is 2.
Lets's calculate LCM of 35,9399
Given numbers has no common factors except 1. So, there LCM is their product i.e 328965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328965
Therefore, the GCF of Fractions 960/35,602/9399 is 2/328965
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 35,9399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,9399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,9399) x common factors =1 x 1 = 1
LCM(35,9399) = ( 35 × 9399 ) / 1
LCM(35,9399) = 328965 / 1
LCM(35,9399) = 328965
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 960/35, 602/9399?
Answer: GCF of Numerators as per given numbers 960/35, 602/9399 is
GCF of Numerators i.e. for 960,602 is 2
LCM of denominators i.e. for 35,9399 is 328965.
Thus, GCF of Fractions is 2/328965.Finally, GCF of Fractions for 960/35, 602/9399 is 2/328965.