Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9546/114,1703/645
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 9546,1703
Greatest Common Factor of Numerators i.e. GCF of 9546,1703 is 1 .
LCM of Denominators means LCM of 114,645 as per the given fractions.
LCM of 114,645 is 24510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9546,1703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9546
List of positive integer factors of 9546 that divides 9546 without a remainder.
1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Factors of 1703
List of positive integer factors of 1703 that divides 1703 without a remainder.
1,13,131,1703
Greatest Common Factor
We found the factors 9546,1703 . The biggest common factor number is the GCF number.
So the greatest common factor 9546,1703 is 1.
Lets's calculate LCM of 114,645
3 | 114, 645 |
38, 215 |
∴ So the LCM of the given numbers is 3 x 38 x 215 = 24510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24510
Therefore, the GCF of Fractions 9546/114,1703/645 is 1/24510
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 114,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(114,645) x common factors =3 x 1 = 3
LCM(114,645) = ( 114 × 645 ) / 3
LCM(114,645) = 73530 / 3
LCM(114,645) = 24510
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 9546/114, 1703/645?
Answer: GCF of Numerators as per given numbers 9546/114, 1703/645 is
GCF of Numerators i.e. for 9546,1703 is 1
LCM of denominators i.e. for 114,645 is 24510.
Thus, GCF of Fractions is 1/24510.Finally, GCF of Fractions for 9546/114, 1703/645 is 1/24510.