Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 647/842,9174/814
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 647,9174
Greatest Common Factor of Numerators i.e. GCF of 647,9174 is 1 .
LCM of Denominators means LCM of 842,814 as per the given fractions.
LCM of 842,814 is 342694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 647,9174
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 9174
List of positive integer factors of 9174 that divides 9174 without a remainder.
1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174
Greatest Common Factor
We found the factors 647,9174 . The biggest common factor number is the GCF number.
So the greatest common factor 647,9174 is 1.
Lets's calculate LCM of 842,814
2 | 842, 814 |
421, 407 |
∴ So the LCM of the given numbers is 2 x 421 x 407 = 342694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342694
Therefore, the GCF of Fractions 647/842,9174/814 is 1/342694
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 842,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,814) x common factors =2 x 1 = 2
LCM(842,814) = ( 842 × 814 ) / 2
LCM(842,814) = 685388 / 2
LCM(842,814) = 342694
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 647/842, 9174/814?
Answer: GCF of Numerators as per given numbers 647/842, 9174/814 is
GCF of Numerators i.e. for 647,9174 is 1
LCM of denominators i.e. for 842,814 is 342694.
Thus, GCF of Fractions is 1/342694.Finally, GCF of Fractions for 647/842, 9174/814 is 1/342694.