Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5077/170,4572/2645
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 5077,4572
Greatest Common Factor of Numerators i.e. GCF of 5077,4572 is 1 .
LCM of Denominators means LCM of 170,2645 as per the given fractions.
LCM of 170,2645 is 89930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5077,4572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1,5077
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Greatest Common Factor
We found the factors 5077,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,4572 is 1.
Lets's calculate LCM of 170,2645
5 | 170, 2645 |
34, 529 |
∴ So the LCM of the given numbers is 5 x 34 x 529 = 89930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89930
Therefore, the GCF of Fractions 5077/170,4572/2645 is 1/89930
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 170,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,2645) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(170,2645) x common factors =5 x 1 = 5
LCM(170,2645) = ( 170 × 2645 ) / 5
LCM(170,2645) = 449650 / 5
LCM(170,2645) = 89930
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 5077/170, 4572/2645?
Answer: GCF of Numerators as per given numbers 5077/170, 4572/2645 is
GCF of Numerators i.e. for 5077,4572 is 1
LCM of denominators i.e. for 170,2645 is 89930.
Thus, GCF of Fractions is 1/89930.Finally, GCF of Fractions for 5077/170, 4572/2645 is 1/89930.