Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7322/137,5542/1483
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 7322,5542
Greatest Common Factor of Numerators i.e. GCF of 7322,5542 is 2 .
LCM of Denominators means LCM of 137,1483 as per the given fractions.
LCM of 137,1483 is 203171 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7322,5542
2 | 7322, 5542 |
3661, 2771 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1,2,17,34,163,326,2771,5542
Greatest Common Factor
We found the factors 7322,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 7322,5542 is 2.
Lets's calculate LCM of 137,1483
Given numbers has no common factors except 1. So, there LCM is their product i.e 203171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203171
Therefore, the GCF of Fractions 7322/137,5542/1483 is 2/203171
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 137,1483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,1483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,1483) x common factors =1 x 1 = 1
LCM(137,1483) = ( 137 × 1483 ) / 1
LCM(137,1483) = 203171 / 1
LCM(137,1483) = 203171
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 7322/137, 5542/1483?
Answer: GCF of Numerators as per given numbers 7322/137, 5542/1483 is
GCF of Numerators i.e. for 7322,5542 is 2
LCM of denominators i.e. for 137,1483 is 203171.
Thus, GCF of Fractions is 2/203171.Finally, GCF of Fractions for 7322/137, 5542/1483 is 2/203171.