Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4578/634,1254/3673
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 4578,1254
Greatest Common Factor of Numerators i.e. GCF of 4578,1254 is 6 .
LCM of Denominators means LCM of 634,3673 as per the given fractions.
LCM of 634,3673 is 2328682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4578,1254
2 | 4578, 1254 |
3 | 2289, 627 |
763, 209 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4578
List of positive integer factors of 4578 that divides 4578 without a remainder.
1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 4578,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 4578,1254 is 6.
Lets's calculate LCM of 634,3673
Given numbers has no common factors except 1. So, there LCM is their product i.e 2328682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2328682
Therefore, the GCF of Fractions 4578/634,1254/3673 is 6/2328682
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 634,3673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,3673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,3673) x common factors =1 x 1 = 1
LCM(634,3673) = ( 634 × 3673 ) / 1
LCM(634,3673) = 2328682 / 1
LCM(634,3673) = 2328682
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 4578/634, 1254/3673?
Answer: GCF of Numerators as per given numbers 4578/634, 1254/3673 is
GCF of Numerators i.e. for 4578,1254 is 6
LCM of denominators i.e. for 634,3673 is 2328682.
Thus, GCF of Fractions is 6/2328682.Finally, GCF of Fractions for 4578/634, 1254/3673 is 6/2328682.