Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/22,546/4153
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 130,546
Greatest Common Factor of Numerators i.e. GCF of 130,546 is 26 .
LCM of Denominators means LCM of 22,4153 as per the given fractions.
LCM of 22,4153 is 91366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 130,546
2 | 130, 546 |
13 | 65, 273 |
5, 21 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 130,546 . The biggest common factor number is the GCF number.
So the greatest common factor 130,546 is 26.
Lets's calculate LCM of 22,4153
Given numbers has no common factors except 1. So, there LCM is their product i.e 91366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/91366
Therefore, the GCF of Fractions 130/22,546/4153 is 26/91366
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 22,4153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,4153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,4153) x common factors =1 x 1 = 1
LCM(22,4153) = ( 22 × 4153 ) / 1
LCM(22,4153) = 91366 / 1
LCM(22,4153) = 91366
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 130/22, 546/4153?
Answer: GCF of Numerators as per given numbers 130/22, 546/4153 is
GCF of Numerators i.e. for 130,546 is 26
LCM of denominators i.e. for 22,4153 is 91366.
Thus, GCF of Fractions is 26/91366.Finally, GCF of Fractions for 130/22, 546/4153 is 26/91366.