Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4200/705,9899/7057
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 4200,9899
Greatest Common Factor of Numerators i.e. GCF of 4200,9899 is 1 .
LCM of Denominators means LCM of 705,7057 as per the given fractions.
LCM of 705,7057 is 4975185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4200,9899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4200
List of positive integer factors of 4200 that divides 4200 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200
Factors of 9899
List of positive integer factors of 9899 that divides 9899 without a remainder.
1,19,521,9899
Greatest Common Factor
We found the factors 4200,9899 . The biggest common factor number is the GCF number.
So the greatest common factor 4200,9899 is 1.
Lets's calculate LCM of 705,7057
Given numbers has no common factors except 1. So, there LCM is their product i.e 4975185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4975185
Therefore, the GCF of Fractions 4200/705,9899/7057 is 1/4975185
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 705,7057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,7057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,7057) x common factors =1 x 1 = 1
LCM(705,7057) = ( 705 × 7057 ) / 1
LCM(705,7057) = 4975185 / 1
LCM(705,7057) = 4975185
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 4200/705, 9899/7057?
Answer: GCF of Numerators as per given numbers 4200/705, 9899/7057 is
GCF of Numerators i.e. for 4200,9899 is 1
LCM of denominators i.e. for 705,7057 is 4975185.
Thus, GCF of Fractions is 1/4975185.Finally, GCF of Fractions for 4200/705, 9899/7057 is 1/4975185.