Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4106/277,3102/992
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 4106,3102
Greatest Common Factor of Numerators i.e. GCF of 4106,3102 is 2 .
LCM of Denominators means LCM of 277,992 as per the given fractions.
LCM of 277,992 is 274784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4106,3102
2 | 4106, 3102 |
2053, 1551 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4106
List of positive integer factors of 4106 that divides 4106 without a remainder.
1,2,2053,4106
Factors of 3102
List of positive integer factors of 3102 that divides 3102 without a remainder.
1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 4106,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 4106,3102 is 2.
Lets's calculate LCM of 277,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 274784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274784
Therefore, the GCF of Fractions 4106/277,3102/992 is 2/274784
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 277,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,992) x common factors =1 x 1 = 1
LCM(277,992) = ( 277 × 992 ) / 1
LCM(277,992) = 274784 / 1
LCM(277,992) = 274784
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 4106/277, 3102/992?
Answer: GCF of Numerators as per given numbers 4106/277, 3102/992 is
GCF of Numerators i.e. for 4106,3102 is 2
LCM of denominators i.e. for 277,992 is 274784.
Thus, GCF of Fractions is 2/274784.Finally, GCF of Fractions for 4106/277, 3102/992 is 2/274784.