Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7989/316,3459/8575
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 7989,3459
Greatest Common Factor of Numerators i.e. GCF of 7989,3459 is 3 .
LCM of Denominators means LCM of 316,8575 as per the given fractions.
LCM of 316,8575 is 2709700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7989,3459
3 | 7989, 3459 |
2663, 1153 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7989
List of positive integer factors of 7989 that divides 7989 without a remainder.
1,3,2663,7989
Factors of 3459
List of positive integer factors of 3459 that divides 3459 without a remainder.
1,3,1153,3459
Greatest Common Factor
We found the factors 7989,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,3459 is 3.
Lets's calculate LCM of 316,8575
Given numbers has no common factors except 1. So, there LCM is their product i.e 2709700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2709700
Therefore, the GCF of Fractions 7989/316,3459/8575 is 3/2709700
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 316,8575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,8575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,8575) x common factors =1 x 1 = 1
LCM(316,8575) = ( 316 × 8575 ) / 1
LCM(316,8575) = 2709700 / 1
LCM(316,8575) = 2709700
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 7989/316, 3459/8575?
Answer: GCF of Numerators as per given numbers 7989/316, 3459/8575 is
GCF of Numerators i.e. for 7989,3459 is 3
LCM of denominators i.e. for 316,8575 is 2709700.
Thus, GCF of Fractions is 3/2709700.Finally, GCF of Fractions for 7989/316, 3459/8575 is 3/2709700.