Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 312/631,1794/8474
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 312,1794
Greatest Common Factor of Numerators i.e. GCF of 312,1794 is 78 .
LCM of Denominators means LCM of 631,8474 as per the given fractions.
LCM of 631,8474 is 5347094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 312,1794
2 | 312, 1794 |
3 | 156, 897 |
13 | 52, 299 |
4, 23 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 1794
List of positive integer factors of 1794 that divides 1794 without a remainder.
1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Greatest Common Factor
We found the factors 312,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 312,1794 is 78.
Lets's calculate LCM of 631,8474
Given numbers has no common factors except 1. So, there LCM is their product i.e 5347094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/5347094
Therefore, the GCF of Fractions 312/631,1794/8474 is 78/5347094
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 631,8474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,8474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,8474) x common factors =1 x 1 = 1
LCM(631,8474) = ( 631 × 8474 ) / 1
LCM(631,8474) = 5347094 / 1
LCM(631,8474) = 5347094
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 312/631, 1794/8474?
Answer: GCF of Numerators as per given numbers 312/631, 1794/8474 is
GCF of Numerators i.e. for 312,1794 is 78
LCM of denominators i.e. for 631,8474 is 5347094.
Thus, GCF of Fractions is 78/5347094.Finally, GCF of Fractions for 312/631, 1794/8474 is 78/5347094.