Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/272,830/898
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 492,830
Greatest Common Factor of Numerators i.e. GCF of 492,830 is 2 .
LCM of Denominators means LCM of 272,898 as per the given fractions.
LCM of 272,898 is 122128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,830
2 | 492, 830 |
246, 415 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 492,830 . The biggest common factor number is the GCF number.
So the greatest common factor 492,830 is 2.
Lets's calculate LCM of 272,898
2 | 272, 898 |
136, 449 |
∴ So the LCM of the given numbers is 2 x 136 x 449 = 122128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122128
Therefore, the GCF of Fractions 492/272,830/898 is 2/122128
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 272,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,898) x common factors =2 x 1 = 2
LCM(272,898) = ( 272 × 898 ) / 2
LCM(272,898) = 244256 / 2
LCM(272,898) = 122128
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 492/272, 830/898?
Answer: GCF of Numerators as per given numbers 492/272, 830/898 is
GCF of Numerators i.e. for 492,830 is 2
LCM of denominators i.e. for 272,898 is 122128.
Thus, GCF of Fractions is 2/122128.Finally, GCF of Fractions for 492/272, 830/898 is 2/122128.