Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9363/545,6090/2602
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 9363,6090
Greatest Common Factor of Numerators i.e. GCF of 9363,6090 is 3 .
LCM of Denominators means LCM of 545,2602 as per the given fractions.
LCM of 545,2602 is 1418090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9363,6090
3 | 9363, 6090 |
3121, 2030 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9363
List of positive integer factors of 9363 that divides 9363 without a remainder.
1,3,3121,9363
Factors of 6090
List of positive integer factors of 6090 that divides 6090 without a remainder.
1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Greatest Common Factor
We found the factors 9363,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 9363,6090 is 3.
Lets's calculate LCM of 545,2602
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1418090
Therefore, the GCF of Fractions 9363/545,6090/2602 is 3/1418090
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 545,2602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,2602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,2602) x common factors =1 x 1 = 1
LCM(545,2602) = ( 545 × 2602 ) / 1
LCM(545,2602) = 1418090 / 1
LCM(545,2602) = 1418090
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 9363/545, 6090/2602?
Answer: GCF of Numerators as per given numbers 9363/545, 6090/2602 is
GCF of Numerators i.e. for 9363,6090 is 3
LCM of denominators i.e. for 545,2602 is 1418090.
Thus, GCF of Fractions is 3/1418090.Finally, GCF of Fractions for 9363/545, 6090/2602 is 3/1418090.