Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/61,622/7594
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 978,622
Greatest Common Factor of Numerators i.e. GCF of 978,622 is 2 .
LCM of Denominators means LCM of 61,7594 as per the given fractions.
LCM of 61,7594 is 463234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,622
2 | 978, 622 |
489, 311 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 978,622 . The biggest common factor number is the GCF number.
So the greatest common factor 978,622 is 2.
Lets's calculate LCM of 61,7594
Given numbers has no common factors except 1. So, there LCM is their product i.e 463234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/463234
Therefore, the GCF of Fractions 978/61,622/7594 is 2/463234
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 61,7594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,7594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,7594) x common factors =1 x 1 = 1
LCM(61,7594) = ( 61 × 7594 ) / 1
LCM(61,7594) = 463234 / 1
LCM(61,7594) = 463234
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 978/61, 622/7594?
Answer: GCF of Numerators as per given numbers 978/61, 622/7594 is
GCF of Numerators i.e. for 978,622 is 2
LCM of denominators i.e. for 61,7594 is 463234.
Thus, GCF of Fractions is 2/463234.Finally, GCF of Fractions for 978/61, 622/7594 is 2/463234.