Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8122/64,8060/262
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 8122,8060
Greatest Common Factor of Numerators i.e. GCF of 8122,8060 is 62 .
LCM of Denominators means LCM of 64,262 as per the given fractions.
LCM of 64,262 is 8384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8122,8060
2 | 8122, 8060 |
31 | 4061, 4030 |
131, 130 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Factors of 8122
List of positive integer factors of 8122 that divides 8122 without a remainder.
1,2,31,62,131,262,4061,8122
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 8122,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 8122,8060 is 62.
Lets's calculate LCM of 64,262
2 | 64, 262 |
32, 131 |
∴ So the LCM of the given numbers is 2 x 32 x 131 = 8384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/8384
Therefore, the GCF of Fractions 8122/64,8060/262 is 62/8384
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 64,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(64,262) x common factors =2 x 1 = 2
LCM(64,262) = ( 64 × 262 ) / 2
LCM(64,262) = 16768 / 2
LCM(64,262) = 8384
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 8122/64, 8060/262?
Answer: GCF of Numerators as per given numbers 8122/64, 8060/262 is
GCF of Numerators i.e. for 8122,8060 is 62
LCM of denominators i.e. for 64,262 is 8384.
Thus, GCF of Fractions is 62/8384.Finally, GCF of Fractions for 8122/64, 8060/262 is 62/8384.