Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6417/914,8442/1585
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 6417,8442
Greatest Common Factor of Numerators i.e. GCF of 6417,8442 is 9 .
LCM of Denominators means LCM of 914,1585 as per the given fractions.
LCM of 914,1585 is 1448690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6417,8442
3 | 6417, 8442 |
3 | 2139, 2814 |
713, 938 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 6417
List of positive integer factors of 6417 that divides 6417 without a remainder.
1,3,9,23,31,69,93,207,279,713,2139,6417
Factors of 8442
List of positive integer factors of 8442 that divides 8442 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Greatest Common Factor
We found the factors 6417,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,8442 is 9.
Lets's calculate LCM of 914,1585
Given numbers has no common factors except 1. So, there LCM is their product i.e 1448690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1448690
Therefore, the GCF of Fractions 6417/914,8442/1585 is 9/1448690
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 914,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,1585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,1585) x common factors =1 x 1 = 1
LCM(914,1585) = ( 914 × 1585 ) / 1
LCM(914,1585) = 1448690 / 1
LCM(914,1585) = 1448690
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 6417/914, 8442/1585?
Answer: GCF of Numerators as per given numbers 6417/914, 8442/1585 is
GCF of Numerators i.e. for 6417,8442 is 9
LCM of denominators i.e. for 914,1585 is 1448690.
Thus, GCF of Fractions is 9/1448690.Finally, GCF of Fractions for 6417/914, 8442/1585 is 9/1448690.