Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6029/52,7970/201
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 6029,7970
Greatest Common Factor of Numerators i.e. GCF of 6029,7970 is 1 .
LCM of Denominators means LCM of 52,201 as per the given fractions.
LCM of 52,201 is 10452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6029,7970
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6029
List of positive integer factors of 6029 that divides 6029 without a remainder.
1,6029
Factors of 7970
List of positive integer factors of 7970 that divides 7970 without a remainder.
1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 6029,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 6029,7970 is 1.
Lets's calculate LCM of 52,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 10452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10452
Therefore, the GCF of Fractions 6029/52,7970/201 is 1/10452
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 52,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,201) x common factors =1 x 1 = 1
LCM(52,201) = ( 52 × 201 ) / 1
LCM(52,201) = 10452 / 1
LCM(52,201) = 10452
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 6029/52, 7970/201?
Answer: GCF of Numerators as per given numbers 6029/52, 7970/201 is
GCF of Numerators i.e. for 6029,7970 is 1
LCM of denominators i.e. for 52,201 is 10452.
Thus, GCF of Fractions is 1/10452.Finally, GCF of Fractions for 6029/52, 7970/201 is 1/10452.