Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4621/13,5563/520
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 4621,5563
Greatest Common Factor of Numerators i.e. GCF of 4621,5563 is 1 .
LCM of Denominators means LCM of 13,520 as per the given fractions.
LCM of 13,520 is 520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4621,5563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4621
List of positive integer factors of 4621 that divides 4621 without a remainder.
1,4621
Factors of 5563
List of positive integer factors of 5563 that divides 5563 without a remainder.
1,5563
Greatest Common Factor
We found the factors 4621,5563 . The biggest common factor number is the GCF number.
So the greatest common factor 4621,5563 is 1.
Lets's calculate LCM of 13,520
13 | 13, 520 |
1, 40 |
∴ So the LCM of the given numbers is 13 x 1 x 40 = 520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520
Therefore, the GCF of Fractions 4621/13,5563/520 is 1/520
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 13,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,520) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(13,520) x common factors =13 x 1 = 13
LCM(13,520) = ( 13 × 520 ) / 13
LCM(13,520) = 6760 / 13
LCM(13,520) = 520
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 4621/13, 5563/520?
Answer: GCF of Numerators as per given numbers 4621/13, 5563/520 is
GCF of Numerators i.e. for 4621,5563 is 1
LCM of denominators i.e. for 13,520 is 520.
Thus, GCF of Fractions is 1/520.Finally, GCF of Fractions for 4621/13, 5563/520 is 1/520.