Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7060/396,8340/4356
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 7060,8340
Greatest Common Factor of Numerators i.e. GCF of 7060,8340 is 20 .
LCM of Denominators means LCM of 396,4356 as per the given fractions.
LCM of 396,4356 is 4356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7060,8340
2 | 7060, 8340 |
2 | 3530, 4170 |
5 | 1765, 2085 |
353, 417 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 7060
List of positive integer factors of 7060 that divides 7060 without a remainder.
1,2,4,5,10,20,353,706,1412,1765,3530,7060
Factors of 8340
List of positive integer factors of 8340 that divides 8340 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 7060,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 7060,8340 is 20.
Lets's calculate LCM of 396,4356
2 | 396, 4356 |
2 | 198, 2178 |
3 | 99, 1089 |
3 | 33, 363 |
11 | 11, 121 |
1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 11 = 4356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/4356
Therefore, the GCF of Fractions 7060/396,8340/4356 is 20/4356
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 396,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,4356) = 396
common factors(in case of two or more numbers have common factors) = 1
GCF(396,4356) x common factors =396 x 1 = 396
LCM(396,4356) = ( 396 × 4356 ) / 396
LCM(396,4356) = 1724976 / 396
LCM(396,4356) = 4356
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 7060/396, 8340/4356?
Answer: GCF of Numerators as per given numbers 7060/396, 8340/4356 is
GCF of Numerators i.e. for 7060,8340 is 20
LCM of denominators i.e. for 396,4356 is 4356.
Thus, GCF of Fractions is 20/4356.Finally, GCF of Fractions for 7060/396, 8340/4356 is 20/4356.