Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/37,406/29,380/172
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 316,406,380
Greatest Common Factor of Numerators i.e. GCF of 316,406,380 is 2 .
LCM of Denominators means LCM of 37,29,172 as per the given fractions.
LCM of 37,29,172 is 184556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,406,380
2 | 316, 406, 380 |
158, 203, 190 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 316,406,380 . The biggest common factor number is the GCF number.
So the greatest common factor 316,406,380 is 2.
Lets's calculate LCM of 37,29,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 184556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/184556
Therefore, the GCF of Fractions 316/37,406/29,380/172 is 2/184556
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 37,29,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,29,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,29,172) x common factors =1 x 1 = 1
LCM(37,29,172) = ( 37 × 29 × 172 ) / 1
LCM(37,29,172) = 184556 / 1
LCM(37,29,172) = 184556
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 316/37, 406/29, 380/172?
Answer: GCF of Numerators as per given numbers 316/37, 406/29, 380/172 is
GCF of Numerators i.e. for 316,406,380 is 2
LCM of denominators i.e. for 37,29,172 is 184556.
Thus, GCF of Fractions is 2/184556.Finally, GCF of Fractions for 316/37, 406/29, 380/172 is 2/184556.