Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5036/767,3444/2078
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 5036,3444
Greatest Common Factor of Numerators i.e. GCF of 5036,3444 is 4 .
LCM of Denominators means LCM of 767,2078 as per the given fractions.
LCM of 767,2078 is 1593826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5036,3444
2 | 5036, 3444 |
2 | 2518, 1722 |
1259, 861 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5036
List of positive integer factors of 5036 that divides 5036 without a remainder.
1,2,4,1259,2518,5036
Factors of 3444
List of positive integer factors of 3444 that divides 3444 without a remainder.
1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 5036,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 5036,3444 is 4.
Lets's calculate LCM of 767,2078
Given numbers has no common factors except 1. So, there LCM is their product i.e 1593826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1593826
Therefore, the GCF of Fractions 5036/767,3444/2078 is 4/1593826
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 767,2078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,2078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,2078) x common factors =1 x 1 = 1
LCM(767,2078) = ( 767 × 2078 ) / 1
LCM(767,2078) = 1593826 / 1
LCM(767,2078) = 1593826
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 5036/767, 3444/2078?
Answer: GCF of Numerators as per given numbers 5036/767, 3444/2078 is
GCF of Numerators i.e. for 5036,3444 is 4
LCM of denominators i.e. for 767,2078 is 1593826.
Thus, GCF of Fractions is 4/1593826.Finally, GCF of Fractions for 5036/767, 3444/2078 is 4/1593826.