Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8400/760,7897/1791
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 8400,7897
Greatest Common Factor of Numerators i.e. GCF of 8400,7897 is 1 .
LCM of Denominators means LCM of 760,1791 as per the given fractions.
LCM of 760,1791 is 1361160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8400,7897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8400
List of positive integer factors of 8400 that divides 8400 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Factors of 7897
List of positive integer factors of 7897 that divides 7897 without a remainder.
1,53,149,7897
Greatest Common Factor
We found the factors 8400,7897 . The biggest common factor number is the GCF number.
So the greatest common factor 8400,7897 is 1.
Lets's calculate LCM of 760,1791
Given numbers has no common factors except 1. So, there LCM is their product i.e 1361160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361160
Therefore, the GCF of Fractions 8400/760,7897/1791 is 1/1361160
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 760,1791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,1791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,1791) x common factors =1 x 1 = 1
LCM(760,1791) = ( 760 × 1791 ) / 1
LCM(760,1791) = 1361160 / 1
LCM(760,1791) = 1361160
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 8400/760, 7897/1791?
Answer: GCF of Numerators as per given numbers 8400/760, 7897/1791 is
GCF of Numerators i.e. for 8400,7897 is 1
LCM of denominators i.e. for 760,1791 is 1361160.
Thus, GCF of Fractions is 1/1361160.Finally, GCF of Fractions for 8400/760, 7897/1791 is 1/1361160.