Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/89,5214/647
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 693,5214
Greatest Common Factor of Numerators i.e. GCF of 693,5214 is 33 .
LCM of Denominators means LCM of 89,647 as per the given fractions.
LCM of 89,647 is 57583 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 693,5214
3 | 693, 5214 |
11 | 231, 1738 |
21, 158 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 5214
List of positive integer factors of 5214 that divides 5214 without a remainder.
1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 693,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 693,5214 is 33.
Lets's calculate LCM of 89,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 57583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/57583
Therefore, the GCF of Fractions 693/89,5214/647 is 33/57583
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 89,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,647) x common factors =1 x 1 = 1
LCM(89,647) = ( 89 × 647 ) / 1
LCM(89,647) = 57583 / 1
LCM(89,647) = 57583
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 693/89, 5214/647?
Answer: GCF of Numerators as per given numbers 693/89, 5214/647 is
GCF of Numerators i.e. for 693,5214 is 33
LCM of denominators i.e. for 89,647 is 57583.
Thus, GCF of Fractions is 33/57583.Finally, GCF of Fractions for 693/89, 5214/647 is 33/57583.