Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9610/579,6355/614
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 9610,6355
Greatest Common Factor of Numerators i.e. GCF of 9610,6355 is 155 .
LCM of Denominators means LCM of 579,614 as per the given fractions.
LCM of 579,614 is 355506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9610,6355
5 | 9610, 6355 |
31 | 1922, 1271 |
62, 41 |
∴ So the GCF of the given numbers is 5 x 31 = 155
Factors of 9610
List of positive integer factors of 9610 that divides 9610 without a remainder.
1,2,5,10,31,62,155,310,961,1922,4805,9610
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1,5,31,41,155,205,1271,6355
Greatest Common Factor
We found the factors 9610,6355 . The biggest common factor number is the GCF number.
So the greatest common factor 9610,6355 is 155.
Lets's calculate LCM of 579,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 355506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 155/355506
Therefore, the GCF of Fractions 9610/579,6355/614 is 155/355506
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 579,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,614) x common factors =1 x 1 = 1
LCM(579,614) = ( 579 × 614 ) / 1
LCM(579,614) = 355506 / 1
LCM(579,614) = 355506
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 9610/579, 6355/614?
Answer: GCF of Numerators as per given numbers 9610/579, 6355/614 is
GCF of Numerators i.e. for 9610,6355 is 155
LCM of denominators i.e. for 579,614 is 355506.
Thus, GCF of Fractions is 155/355506.Finally, GCF of Fractions for 9610/579, 6355/614 is 155/355506.