Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7501/601,6200/8335
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 7501,6200
Greatest Common Factor of Numerators i.e. GCF of 7501,6200 is 1 .
LCM of Denominators means LCM of 601,8335 as per the given fractions.
LCM of 601,8335 is 5009335 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7501,6200
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1,13,577,7501
Factors of 6200
List of positive integer factors of 6200 that divides 6200 without a remainder.
1,2,4,5,8,10,20,25,31,40,50,62,100,124,155,200,248,310,620,775,1240,1550,3100,6200
Greatest Common Factor
We found the factors 7501,6200 . The biggest common factor number is the GCF number.
So the greatest common factor 7501,6200 is 1.
Lets's calculate LCM of 601,8335
Given numbers has no common factors except 1. So, there LCM is their product i.e 5009335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5009335
Therefore, the GCF of Fractions 7501/601,6200/8335 is 1/5009335
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 601,8335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,8335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,8335) x common factors =1 x 1 = 1
LCM(601,8335) = ( 601 × 8335 ) / 1
LCM(601,8335) = 5009335 / 1
LCM(601,8335) = 5009335
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 7501/601, 6200/8335?
Answer: GCF of Numerators as per given numbers 7501/601, 6200/8335 is
GCF of Numerators i.e. for 7501,6200 is 1
LCM of denominators i.e. for 601,8335 is 5009335.
Thus, GCF of Fractions is 1/5009335.Finally, GCF of Fractions for 7501/601, 6200/8335 is 1/5009335.