Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/945,7125/861
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 662,7125
Greatest Common Factor of Numerators i.e. GCF of 662,7125 is 1 .
LCM of Denominators means LCM of 945,861 as per the given fractions.
LCM of 945,861 is 38745 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 662,7125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 662,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 662,7125 is 1.
Lets's calculate LCM of 945,861
3 | 945, 861 |
7 | 315, 287 |
45, 41 |
∴ So the LCM of the given numbers is 3 x 7 x 45 x 41 = 38745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38745
Therefore, the GCF of Fractions 662/945,7125/861 is 1/38745
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 945,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,861) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(945,861) x common factors =21 x 1 = 21
LCM(945,861) = ( 945 × 861 ) / 21
LCM(945,861) = 813645 / 21
LCM(945,861) = 38745
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 662/945, 7125/861?
Answer: GCF of Numerators as per given numbers 662/945, 7125/861 is
GCF of Numerators i.e. for 662,7125 is 1
LCM of denominators i.e. for 945,861 is 38745.
Thus, GCF of Fractions is 1/38745.Finally, GCF of Fractions for 662/945, 7125/861 is 1/38745.