Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9620/71,3523/164
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 9620,3523
Greatest Common Factor of Numerators i.e. GCF of 9620,3523 is 13 .
LCM of Denominators means LCM of 71,164 as per the given fractions.
LCM of 71,164 is 11644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9620,3523
13 | 9620, 3523 |
740, 271 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 9620
List of positive integer factors of 9620 that divides 9620 without a remainder.
1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Factors of 3523
List of positive integer factors of 3523 that divides 3523 without a remainder.
1,13,271,3523
Greatest Common Factor
We found the factors 9620,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,3523 is 13.
Lets's calculate LCM of 71,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 11644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/11644
Therefore, the GCF of Fractions 9620/71,3523/164 is 13/11644
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 71,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,164) x common factors =1 x 1 = 1
LCM(71,164) = ( 71 × 164 ) / 1
LCM(71,164) = 11644 / 1
LCM(71,164) = 11644
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 9620/71, 3523/164?
Answer: GCF of Numerators as per given numbers 9620/71, 3523/164 is
GCF of Numerators i.e. for 9620,3523 is 13
LCM of denominators i.e. for 71,164 is 11644.
Thus, GCF of Fractions is 13/11644.Finally, GCF of Fractions for 9620/71, 3523/164 is 13/11644.