Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8980/20,9685/662
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 8980,9685
Greatest Common Factor of Numerators i.e. GCF of 8980,9685 is 5 .
LCM of Denominators means LCM of 20,662 as per the given fractions.
LCM of 20,662 is 6620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8980,9685
5 | 8980, 9685 |
1796, 1937 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8980
List of positive integer factors of 8980 that divides 8980 without a remainder.
1,2,4,5,10,20,449,898,1796,2245,4490,8980
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors 8980,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,9685 is 5.
Lets's calculate LCM of 20,662
2 | 20, 662 |
10, 331 |
∴ So the LCM of the given numbers is 2 x 10 x 331 = 6620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6620
Therefore, the GCF of Fractions 8980/20,9685/662 is 5/6620
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 20,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,662) x common factors =2 x 1 = 2
LCM(20,662) = ( 20 × 662 ) / 2
LCM(20,662) = 13240 / 2
LCM(20,662) = 6620
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 8980/20, 9685/662?
Answer: GCF of Numerators as per given numbers 8980/20, 9685/662 is
GCF of Numerators i.e. for 8980,9685 is 5
LCM of denominators i.e. for 20,662 is 6620.
Thus, GCF of Fractions is 5/6620.Finally, GCF of Fractions for 8980/20, 9685/662 is 5/6620.