Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/61,670/55,858/233
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 316,670,858
Greatest Common Factor of Numerators i.e. GCF of 316,670,858 is 2 .
LCM of Denominators means LCM of 61,55,233 as per the given fractions.
LCM of 61,55,233 is 781715 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,670,858
2 | 316, 670, 858 |
158, 335, 429 |
∴ 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 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 316,670,858 . The biggest common factor number is the GCF number.
So the greatest common factor 316,670,858 is 2.
Lets's calculate LCM of 61,55,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 781715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/781715
Therefore, the GCF of Fractions 316/61,670/55,858/233 is 2/781715
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 61,55,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,55,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,55,233) x common factors =1 x 1 = 1
LCM(61,55,233) = ( 61 × 55 × 233 ) / 1
LCM(61,55,233) = 781715 / 1
LCM(61,55,233) = 781715
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 316/61, 670/55, 858/233?
Answer: GCF of Numerators as per given numbers 316/61, 670/55, 858/233 is
GCF of Numerators i.e. for 316,670,858 is 2
LCM of denominators i.e. for 61,55,233 is 781715.
Thus, GCF of Fractions is 2/781715.Finally, GCF of Fractions for 316/61, 670/55, 858/233 is 2/781715.