Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/733,8664/8185
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 620,8664
Greatest Common Factor of Numerators i.e. GCF of 620,8664 is 4 .
LCM of Denominators means LCM of 733,8185 as per the given fractions.
LCM of 733,8185 is 5999605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,8664
2 | 620, 8664 |
2 | 310, 4332 |
155, 2166 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 8664
List of positive integer factors of 8664 that divides 8664 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 620,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 620,8664 is 4.
Lets's calculate LCM of 733,8185
Given numbers has no common factors except 1. So, there LCM is their product i.e 5999605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5999605
Therefore, the GCF of Fractions 620/733,8664/8185 is 4/5999605
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 733,8185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,8185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,8185) x common factors =1 x 1 = 1
LCM(733,8185) = ( 733 × 8185 ) / 1
LCM(733,8185) = 5999605 / 1
LCM(733,8185) = 5999605
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 620/733, 8664/8185?
Answer: GCF of Numerators as per given numbers 620/733, 8664/8185 is
GCF of Numerators i.e. for 620,8664 is 4
LCM of denominators i.e. for 733,8185 is 5999605.
Thus, GCF of Fractions is 4/5999605.Finally, GCF of Fractions for 620/733, 8664/8185 is 4/5999605.