Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2600/54,2973/812
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 2600,2973
Greatest Common Factor of Numerators i.e. GCF of 2600,2973 is 1 .
LCM of Denominators means LCM of 54,812 as per the given fractions.
LCM of 54,812 is 21924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2600,2973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2600
List of positive integer factors of 2600 that divides 2600 without a remainder.
1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Factors of 2973
List of positive integer factors of 2973 that divides 2973 without a remainder.
1,3,991,2973
Greatest Common Factor
We found the factors 2600,2973 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,2973 is 1.
Lets's calculate LCM of 54,812
2 | 54, 812 |
27, 406 |
∴ So the LCM of the given numbers is 2 x 27 x 406 = 21924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21924
Therefore, the GCF of Fractions 2600/54,2973/812 is 1/21924
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 54,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,812) x common factors =2 x 1 = 2
LCM(54,812) = ( 54 × 812 ) / 2
LCM(54,812) = 43848 / 2
LCM(54,812) = 21924
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 2600/54, 2973/812?
Answer: GCF of Numerators as per given numbers 2600/54, 2973/812 is
GCF of Numerators i.e. for 2600,2973 is 1
LCM of denominators i.e. for 54,812 is 21924.
Thus, GCF of Fractions is 1/21924.Finally, GCF of Fractions for 2600/54, 2973/812 is 1/21924.