Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/253,2740/715
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 110,2740
Greatest Common Factor of Numerators i.e. GCF of 110,2740 is 10 .
LCM of Denominators means LCM of 253,715 as per the given fractions.
LCM of 253,715 is 16445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,2740
2 | 110, 2740 |
5 | 55, 1370 |
11, 274 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 2740
List of positive integer factors of 2740 that divides 2740 without a remainder.
1,2,4,5,10,20,137,274,548,685,1370,2740
Greatest Common Factor
We found the factors 110,2740 . The biggest common factor number is the GCF number.
So the greatest common factor 110,2740 is 10.
Lets's calculate LCM of 253,715
11 | 253, 715 |
23, 65 |
∴ So the LCM of the given numbers is 11 x 23 x 65 = 16445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/16445
Therefore, the GCF of Fractions 110/253,2740/715 is 10/16445
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 253,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,715) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(253,715) x common factors =11 x 1 = 11
LCM(253,715) = ( 253 × 715 ) / 11
LCM(253,715) = 180895 / 11
LCM(253,715) = 16445
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 110/253, 2740/715?
Answer: GCF of Numerators as per given numbers 110/253, 2740/715 is
GCF of Numerators i.e. for 110,2740 is 10
LCM of denominators i.e. for 253,715 is 16445.
Thus, GCF of Fractions is 10/16445.Finally, GCF of Fractions for 110/253, 2740/715 is 10/16445.