Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/34,780/4032
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 843,780
Greatest Common Factor of Numerators i.e. GCF of 843,780 is 3 .
LCM of Denominators means LCM of 34,4032 as per the given fractions.
LCM of 34,4032 is 68544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 843,780
3 | 843, 780 |
281, 260 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
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
Greatest Common Factor
We found the factors 843,780 . The biggest common factor number is the GCF number.
So the greatest common factor 843,780 is 3.
Lets's calculate LCM of 34,4032
2 | 34, 4032 |
17, 2016 |
∴ So the LCM of the given numbers is 2 x 17 x 2016 = 68544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68544
Therefore, the GCF of Fractions 843/34,780/4032 is 3/68544
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 34,4032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,4032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,4032) x common factors =2 x 1 = 2
LCM(34,4032) = ( 34 × 4032 ) / 2
LCM(34,4032) = 137088 / 2
LCM(34,4032) = 68544
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 843/34, 780/4032?
Answer: GCF of Numerators as per given numbers 843/34, 780/4032 is
GCF of Numerators i.e. for 843,780 is 3
LCM of denominators i.e. for 34,4032 is 68544.
Thus, GCF of Fractions is 3/68544.Finally, GCF of Fractions for 843/34, 780/4032 is 3/68544.