Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/654,6024/8238
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 898,6024
Greatest Common Factor of Numerators i.e. GCF of 898,6024 is 2 .
LCM of Denominators means LCM of 654,8238 as per the given fractions.
LCM of 654,8238 is 897942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,6024
2 | 898, 6024 |
449, 3012 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 6024
List of positive integer factors of 6024 that divides 6024 without a remainder.
1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024
Greatest Common Factor
We found the factors 898,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 898,6024 is 2.
Lets's calculate LCM of 654,8238
2 | 654, 8238 |
3 | 327, 4119 |
109, 1373 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 1373 = 897942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/897942
Therefore, the GCF of Fractions 898/654,6024/8238 is 2/897942
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 654,8238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,8238) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,8238) x common factors =6 x 1 = 6
LCM(654,8238) = ( 654 × 8238 ) / 6
LCM(654,8238) = 5387652 / 6
LCM(654,8238) = 897942
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 898/654, 6024/8238?
Answer: GCF of Numerators as per given numbers 898/654, 6024/8238 is
GCF of Numerators i.e. for 898,6024 is 2
LCM of denominators i.e. for 654,8238 is 897942.
Thus, GCF of Fractions is 2/897942.Finally, GCF of Fractions for 898/654, 6024/8238 is 2/897942.