Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7811/372,8472/178
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 7811,8472
Greatest Common Factor of Numerators i.e. GCF of 7811,8472 is 1 .
LCM of Denominators means LCM of 372,178 as per the given fractions.
LCM of 372,178 is 33108 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7811,8472
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1,73,107,7811
Factors of 8472
List of positive integer factors of 8472 that divides 8472 without a remainder.
1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 7811,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 7811,8472 is 1.
Lets's calculate LCM of 372,178
2 | 372, 178 |
186, 89 |
∴ So the LCM of the given numbers is 2 x 186 x 89 = 33108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33108
Therefore, the GCF of Fractions 7811/372,8472/178 is 1/33108
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 372,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,178) x common factors =2 x 1 = 2
LCM(372,178) = ( 372 × 178 ) / 2
LCM(372,178) = 66216 / 2
LCM(372,178) = 33108
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 7811/372, 8472/178?
Answer: GCF of Numerators as per given numbers 7811/372, 8472/178 is
GCF of Numerators i.e. for 7811,8472 is 1
LCM of denominators i.e. for 372,178 is 33108.
Thus, GCF of Fractions is 1/33108.Finally, GCF of Fractions for 7811/372, 8472/178 is 1/33108.