Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5653/986,1606/1064
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 5653,1606
Greatest Common Factor of Numerators i.e. GCF of 5653,1606 is 1 .
LCM of Denominators means LCM of 986,1064 as per the given fractions.
LCM of 986,1064 is 524552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5653,1606
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5653
List of positive integer factors of 5653 that divides 5653 without a remainder.
1,5653
Factors of 1606
List of positive integer factors of 1606 that divides 1606 without a remainder.
1,2,11,22,73,146,803,1606
Greatest Common Factor
We found the factors 5653,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 5653,1606 is 1.
Lets's calculate LCM of 986,1064
2 | 986, 1064 |
493, 532 |
∴ So the LCM of the given numbers is 2 x 493 x 532 = 524552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524552
Therefore, the GCF of Fractions 5653/986,1606/1064 is 1/524552
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 986,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,1064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,1064) x common factors =2 x 1 = 2
LCM(986,1064) = ( 986 × 1064 ) / 2
LCM(986,1064) = 1049104 / 2
LCM(986,1064) = 524552
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 5653/986, 1606/1064?
Answer: GCF of Numerators as per given numbers 5653/986, 1606/1064 is
GCF of Numerators i.e. for 5653,1606 is 1
LCM of denominators i.e. for 986,1064 is 524552.
Thus, GCF of Fractions is 1/524552.Finally, GCF of Fractions for 5653/986, 1606/1064 is 1/524552.