Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4113/84,8140/814
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 4113,8140
Greatest Common Factor of Numerators i.e. GCF of 4113,8140 is 1 .
LCM of Denominators means LCM of 84,814 as per the given fractions.
LCM of 84,814 is 34188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4113,8140
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4113
List of positive integer factors of 4113 that divides 4113 without a remainder.
1,3,9,457,1371,4113
Factors of 8140
List of positive integer factors of 8140 that divides 8140 without a remainder.
1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 4113,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,8140 is 1.
Lets's calculate LCM of 84,814
2 | 84, 814 |
42, 407 |
∴ So the LCM of the given numbers is 2 x 42 x 407 = 34188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34188
Therefore, the GCF of Fractions 4113/84,8140/814 is 1/34188
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 84,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,814) x common factors =2 x 1 = 2
LCM(84,814) = ( 84 × 814 ) / 2
LCM(84,814) = 68376 / 2
LCM(84,814) = 34188
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 4113/84, 8140/814?
Answer: GCF of Numerators as per given numbers 4113/84, 8140/814 is
GCF of Numerators i.e. for 4113,8140 is 1
LCM of denominators i.e. for 84,814 is 34188.
Thus, GCF of Fractions is 1/34188.Finally, GCF of Fractions for 4113/84, 8140/814 is 1/34188.