Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 861/39,283/1320
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 861,283
Greatest Common Factor of Numerators i.e. GCF of 861,283 is 1 .
LCM of Denominators means LCM of 39,1320 as per the given fractions.
LCM of 39,1320 is 17160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 861,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 861,283 . The biggest common factor number is the GCF number.
So the greatest common factor 861,283 is 1.
Lets's calculate LCM of 39,1320
3 | 39, 1320 |
13, 440 |
∴ So the LCM of the given numbers is 3 x 13 x 440 = 17160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17160
Therefore, the GCF of Fractions 861/39,283/1320 is 1/17160
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 39,1320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,1320) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,1320) x common factors =3 x 1 = 3
LCM(39,1320) = ( 39 × 1320 ) / 3
LCM(39,1320) = 51480 / 3
LCM(39,1320) = 17160
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 861/39, 283/1320?
Answer: GCF of Numerators as per given numbers 861/39, 283/1320 is
GCF of Numerators i.e. for 861,283 is 1
LCM of denominators i.e. for 39,1320 is 17160.
Thus, GCF of Fractions is 1/17160.Finally, GCF of Fractions for 861/39, 283/1320 is 1/17160.