Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9452/84,5908/953
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 9452,5908
Greatest Common Factor of Numerators i.e. GCF of 9452,5908 is 4 .
LCM of Denominators means LCM of 84,953 as per the given fractions.
LCM of 84,953 is 80052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9452,5908
2 | 9452, 5908 |
2 | 4726, 2954 |
2363, 1477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9452
List of positive integer factors of 9452 that divides 9452 without a remainder.
1,2,4,17,34,68,139,278,556,2363,4726,9452
Factors of 5908
List of positive integer factors of 5908 that divides 5908 without a remainder.
1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 9452,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 9452,5908 is 4.
Lets's calculate LCM of 84,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 80052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/80052
Therefore, the GCF of Fractions 9452/84,5908/953 is 4/80052
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 84,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,953) x common factors =1 x 1 = 1
LCM(84,953) = ( 84 × 953 ) / 1
LCM(84,953) = 80052 / 1
LCM(84,953) = 80052
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 9452/84, 5908/953?
Answer: GCF of Numerators as per given numbers 9452/84, 5908/953 is
GCF of Numerators i.e. for 9452,5908 is 4
LCM of denominators i.e. for 84,953 is 80052.
Thus, GCF of Fractions is 4/80052.Finally, GCF of Fractions for 9452/84, 5908/953 is 4/80052.