Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4606/557,5527/5050
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 4606,5527
Greatest Common Factor of Numerators i.e. GCF of 4606,5527 is 1 .
LCM of Denominators means LCM of 557,5050 as per the given fractions.
LCM of 557,5050 is 2812850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4606,5527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4606
List of positive integer factors of 4606 that divides 4606 without a remainder.
1,2,7,14,47,49,94,98,329,658,2303,4606
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1,5527
Greatest Common Factor
We found the factors 4606,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,5527 is 1.
Lets's calculate LCM of 557,5050
Given numbers has no common factors except 1. So, there LCM is their product i.e 2812850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2812850
Therefore, the GCF of Fractions 4606/557,5527/5050 is 1/2812850
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 557,5050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,5050) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,5050) x common factors =1 x 1 = 1
LCM(557,5050) = ( 557 × 5050 ) / 1
LCM(557,5050) = 2812850 / 1
LCM(557,5050) = 2812850
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 4606/557, 5527/5050?
Answer: GCF of Numerators as per given numbers 4606/557, 5527/5050 is
GCF of Numerators i.e. for 4606,5527 is 1
LCM of denominators i.e. for 557,5050 is 2812850.
Thus, GCF of Fractions is 1/2812850.Finally, GCF of Fractions for 4606/557, 5527/5050 is 1/2812850.