Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9677/42,1017/790
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 9677,1017
Greatest Common Factor of Numerators i.e. GCF of 9677,1017 is 1 .
LCM of Denominators means LCM of 42,790 as per the given fractions.
LCM of 42,790 is 16590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9677,1017
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9677
List of positive integer factors of 9677 that divides 9677 without a remainder.
1,9677
Factors of 1017
List of positive integer factors of 1017 that divides 1017 without a remainder.
1,3,9,113,339,1017
Greatest Common Factor
We found the factors 9677,1017 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,1017 is 1.
Lets's calculate LCM of 42,790
2 | 42, 790 |
21, 395 |
∴ So the LCM of the given numbers is 2 x 21 x 395 = 16590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16590
Therefore, the GCF of Fractions 9677/42,1017/790 is 1/16590
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 42,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,790) x common factors =2 x 1 = 2
LCM(42,790) = ( 42 × 790 ) / 2
LCM(42,790) = 33180 / 2
LCM(42,790) = 16590
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 9677/42, 1017/790?
Answer: GCF of Numerators as per given numbers 9677/42, 1017/790 is
GCF of Numerators i.e. for 9677,1017 is 1
LCM of denominators i.e. for 42,790 is 16590.
Thus, GCF of Fractions is 1/16590.Finally, GCF of Fractions for 9677/42, 1017/790 is 1/16590.