Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7857/35,6360/782
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 7857,6360
Greatest Common Factor of Numerators i.e. GCF of 7857,6360 is 3 .
LCM of Denominators means LCM of 35,782 as per the given fractions.
LCM of 35,782 is 27370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7857,6360
3 | 7857, 6360 |
2619, 2120 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1,3,9,27,81,97,291,873,2619,7857
Factors of 6360
List of positive integer factors of 6360 that divides 6360 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Greatest Common Factor
We found the factors 7857,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,6360 is 3.
Lets's calculate LCM of 35,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 27370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27370
Therefore, the GCF of Fractions 7857/35,6360/782 is 3/27370
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 35,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,782) x common factors =1 x 1 = 1
LCM(35,782) = ( 35 × 782 ) / 1
LCM(35,782) = 27370 / 1
LCM(35,782) = 27370
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 7857/35, 6360/782?
Answer: GCF of Numerators as per given numbers 7857/35, 6360/782 is
GCF of Numerators i.e. for 7857,6360 is 3
LCM of denominators i.e. for 35,782 is 27370.
Thus, GCF of Fractions is 3/27370.Finally, GCF of Fractions for 7857/35, 6360/782 is 3/27370.