Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/2185,636/2006
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 836,636
Greatest Common Factor of Numerators i.e. GCF of 836,636 is 4 .
LCM of Denominators means LCM of 2185,2006 as per the given fractions.
LCM of 2185,2006 is 4383110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,636
2 | 836, 636 |
2 | 418, 318 |
209, 159 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 836,636 . The biggest common factor number is the GCF number.
So the greatest common factor 836,636 is 4.
Lets's calculate LCM of 2185,2006
Given numbers has no common factors except 1. So, there LCM is their product i.e 4383110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4383110
Therefore, the GCF of Fractions 836/2185,636/2006 is 4/4383110
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 2185,2006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2185,2006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2185,2006) x common factors =1 x 1 = 1
LCM(2185,2006) = ( 2185 × 2006 ) / 1
LCM(2185,2006) = 4383110 / 1
LCM(2185,2006) = 4383110
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 836/2185, 636/2006?
Answer: GCF of Numerators as per given numbers 836/2185, 636/2006 is
GCF of Numerators i.e. for 836,636 is 4
LCM of denominators i.e. for 2185,2006 is 4383110.
Thus, GCF of Fractions is 4/4383110.Finally, GCF of Fractions for 836/2185, 636/2006 is 4/4383110.