Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 138/95,594/9458
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 138,594
Greatest Common Factor of Numerators i.e. GCF of 138,594 is 6 .
LCM of Denominators means LCM of 95,9458 as per the given fractions.
LCM of 95,9458 is 898510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 138,594
2 | 138, 594 |
3 | 69, 297 |
23, 99 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 138,594 . The biggest common factor number is the GCF number.
So the greatest common factor 138,594 is 6.
Lets's calculate LCM of 95,9458
Given numbers has no common factors except 1. So, there LCM is their product i.e 898510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/898510
Therefore, the GCF of Fractions 138/95,594/9458 is 6/898510
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 95,9458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,9458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,9458) x common factors =1 x 1 = 1
LCM(95,9458) = ( 95 × 9458 ) / 1
LCM(95,9458) = 898510 / 1
LCM(95,9458) = 898510
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 138/95, 594/9458?
Answer: GCF of Numerators as per given numbers 138/95, 594/9458 is
GCF of Numerators i.e. for 138,594 is 6
LCM of denominators i.e. for 95,9458 is 898510.
Thus, GCF of Fractions is 6/898510.Finally, GCF of Fractions for 138/95, 594/9458 is 6/898510.