Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5602/38,4586/461
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 5602,4586
Greatest Common Factor of Numerators i.e. GCF of 5602,4586 is 2 .
LCM of Denominators means LCM of 38,461 as per the given fractions.
LCM of 38,461 is 17518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5602,4586
2 | 5602, 4586 |
2801, 2293 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5602
List of positive integer factors of 5602 that divides 5602 without a remainder.
1,2,2801,5602
Factors of 4586
List of positive integer factors of 4586 that divides 4586 without a remainder.
1,2,2293,4586
Greatest Common Factor
We found the factors 5602,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 5602,4586 is 2.
Lets's calculate LCM of 38,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 17518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17518
Therefore, the GCF of Fractions 5602/38,4586/461 is 2/17518
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 38,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,461) x common factors =1 x 1 = 1
LCM(38,461) = ( 38 × 461 ) / 1
LCM(38,461) = 17518 / 1
LCM(38,461) = 17518
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 5602/38, 4586/461?
Answer: GCF of Numerators as per given numbers 5602/38, 4586/461 is
GCF of Numerators i.e. for 5602,4586 is 2
LCM of denominators i.e. for 38,461 is 17518.
Thus, GCF of Fractions is 2/17518.Finally, GCF of Fractions for 5602/38, 4586/461 is 2/17518.