Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 780/105,9945/643
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 780,9945
Greatest Common Factor of Numerators i.e. GCF of 780,9945 is 195 .
LCM of Denominators means LCM of 105,643 as per the given fractions.
LCM of 105,643 is 67515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 780,9945
3 | 780, 9945 |
5 | 260, 3315 |
13 | 52, 663 |
4, 51 |
∴ So the GCF of the given numbers is 3 x 5 x 13 = 195
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 9945
List of positive integer factors of 9945 that divides 9945 without a remainder.
1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 780,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 780,9945 is 195.
Lets's calculate LCM of 105,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 67515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/67515
Therefore, the GCF of Fractions 780/105,9945/643 is 195/67515
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 105,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,643) x common factors =1 x 1 = 1
LCM(105,643) = ( 105 × 643 ) / 1
LCM(105,643) = 67515 / 1
LCM(105,643) = 67515
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 780/105, 9945/643?
Answer: GCF of Numerators as per given numbers 780/105, 9945/643 is
GCF of Numerators i.e. for 780,9945 is 195
LCM of denominators i.e. for 105,643 is 67515.
Thus, GCF of Fractions is 195/67515.Finally, GCF of Fractions for 780/105, 9945/643 is 195/67515.