Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1522/84,6046/481
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 1522,6046
Greatest Common Factor of Numerators i.e. GCF of 1522,6046 is 2 .
LCM of Denominators means LCM of 84,481 as per the given fractions.
LCM of 84,481 is 40404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1522,6046
2 | 1522, 6046 |
761, 3023 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1522
List of positive integer factors of 1522 that divides 1522 without a remainder.
1,2,761,1522
Factors of 6046
List of positive integer factors of 6046 that divides 6046 without a remainder.
1,2,3023,6046
Greatest Common Factor
We found the factors 1522,6046 . The biggest common factor number is the GCF number.
So the greatest common factor 1522,6046 is 2.
Lets's calculate LCM of 84,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 40404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40404
Therefore, the GCF of Fractions 1522/84,6046/481 is 2/40404
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 84,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,481) x common factors =1 x 1 = 1
LCM(84,481) = ( 84 × 481 ) / 1
LCM(84,481) = 40404 / 1
LCM(84,481) = 40404
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 1522/84, 6046/481?
Answer: GCF of Numerators as per given numbers 1522/84, 6046/481 is
GCF of Numerators i.e. for 1522,6046 is 2
LCM of denominators i.e. for 84,481 is 40404.
Thus, GCF of Fractions is 2/40404.Finally, GCF of Fractions for 1522/84, 6046/481 is 2/40404.