Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 163/860,609/972
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 163,609
Greatest Common Factor of Numerators i.e. GCF of 163,609 is 1 .
LCM of Denominators means LCM of 860,972 as per the given fractions.
LCM of 860,972 is 208980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 163,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 163,609 . The biggest common factor number is the GCF number.
So the greatest common factor 163,609 is 1.
Lets's calculate LCM of 860,972
2 | 860, 972 |
2 | 430, 486 |
215, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 215 x 243 = 208980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208980
Therefore, the GCF of Fractions 163/860,609/972 is 1/208980
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 860,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(860,972) x common factors =4 x 1 = 4
LCM(860,972) = ( 860 × 972 ) / 4
LCM(860,972) = 835920 / 4
LCM(860,972) = 208980
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 163/860, 609/972?
Answer: GCF of Numerators as per given numbers 163/860, 609/972 is
GCF of Numerators i.e. for 163,609 is 1
LCM of denominators i.e. for 860,972 is 208980.
Thus, GCF of Fractions is 1/208980.Finally, GCF of Fractions for 163/860, 609/972 is 1/208980.