Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6318/581,7920/9056
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 6318,7920
Greatest Common Factor of Numerators i.e. GCF of 6318,7920 is 18 .
LCM of Denominators means LCM of 581,9056 as per the given fractions.
LCM of 581,9056 is 5261536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6318,7920
2 | 6318, 7920 |
3 | 3159, 3960 |
3 | 1053, 1320 |
351, 440 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Factors of 7920
List of positive integer factors of 7920 that divides 7920 without a remainder.
1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Greatest Common Factor
We found the factors 6318,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 6318,7920 is 18.
Lets's calculate LCM of 581,9056
Given numbers has no common factors except 1. So, there LCM is their product i.e 5261536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5261536
Therefore, the GCF of Fractions 6318/581,7920/9056 is 18/5261536
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 581,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,9056) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,9056) x common factors =1 x 1 = 1
LCM(581,9056) = ( 581 × 9056 ) / 1
LCM(581,9056) = 5261536 / 1
LCM(581,9056) = 5261536
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 6318/581, 7920/9056?
Answer: GCF of Numerators as per given numbers 6318/581, 7920/9056 is
GCF of Numerators i.e. for 6318,7920 is 18
LCM of denominators i.e. for 581,9056 is 5261536.
Thus, GCF of Fractions is 18/5261536.Finally, GCF of Fractions for 6318/581, 7920/9056 is 18/5261536.