Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8164/202,2220/296
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 8164,2220
Greatest Common Factor of Numerators i.e. GCF of 8164,2220 is 4 .
LCM of Denominators means LCM of 202,296 as per the given fractions.
LCM of 202,296 is 29896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8164,2220
2 | 8164, 2220 |
2 | 4082, 1110 |
2041, 555 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8164
List of positive integer factors of 8164 that divides 8164 without a remainder.
1,2,4,13,26,52,157,314,628,2041,4082,8164
Factors of 2220
List of positive integer factors of 2220 that divides 2220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Greatest Common Factor
We found the factors 8164,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,2220 is 4.
Lets's calculate LCM of 202,296
2 | 202, 296 |
101, 148 |
∴ So the LCM of the given numbers is 2 x 101 x 148 = 29896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29896
Therefore, the GCF of Fractions 8164/202,2220/296 is 4/29896
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 202,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,296) x common factors =2 x 1 = 2
LCM(202,296) = ( 202 × 296 ) / 2
LCM(202,296) = 59792 / 2
LCM(202,296) = 29896
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 8164/202, 2220/296?
Answer: GCF of Numerators as per given numbers 8164/202, 2220/296 is
GCF of Numerators i.e. for 8164,2220 is 4
LCM of denominators i.e. for 202,296 is 29896.
Thus, GCF of Fractions is 4/29896.Finally, GCF of Fractions for 8164/202, 2220/296 is 4/29896.