Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1642/52,1794/949
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 1642,1794
Greatest Common Factor of Numerators i.e. GCF of 1642,1794 is 2 .
LCM of Denominators means LCM of 52,949 as per the given fractions.
LCM of 52,949 is 3796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1642,1794
2 | 1642, 1794 |
821, 897 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1642
List of positive integer factors of 1642 that divides 1642 without a remainder.
1,2,821,1642
Factors of 1794
List of positive integer factors of 1794 that divides 1794 without a remainder.
1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Greatest Common Factor
We found the factors 1642,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 1642,1794 is 2.
Lets's calculate LCM of 52,949
13 | 52, 949 |
4, 73 |
∴ So the LCM of the given numbers is 13 x 4 x 73 = 3796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3796
Therefore, the GCF of Fractions 1642/52,1794/949 is 2/3796
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 52,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,949) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(52,949) x common factors =13 x 1 = 13
LCM(52,949) = ( 52 × 949 ) / 13
LCM(52,949) = 49348 / 13
LCM(52,949) = 3796
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 1642/52, 1794/949?
Answer: GCF of Numerators as per given numbers 1642/52, 1794/949 is
GCF of Numerators i.e. for 1642,1794 is 2
LCM of denominators i.e. for 52,949 is 3796.
Thus, GCF of Fractions is 2/3796.Finally, GCF of Fractions for 1642/52, 1794/949 is 2/3796.