Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1201/802,5196/6795
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 1201,5196
Greatest Common Factor of Numerators i.e. GCF of 1201,5196 is 1 .
LCM of Denominators means LCM of 802,6795 as per the given fractions.
LCM of 802,6795 is 5449590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1201,5196
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Factors of 5196
List of positive integer factors of 5196 that divides 5196 without a remainder.
1,2,3,4,6,12,433,866,1299,1732,2598,5196
Greatest Common Factor
We found the factors 1201,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 1201,5196 is 1.
Lets's calculate LCM of 802,6795
Given numbers has no common factors except 1. So, there LCM is their product i.e 5449590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5449590
Therefore, the GCF of Fractions 1201/802,5196/6795 is 1/5449590
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 802,6795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,6795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,6795) x common factors =1 x 1 = 1
LCM(802,6795) = ( 802 × 6795 ) / 1
LCM(802,6795) = 5449590 / 1
LCM(802,6795) = 5449590
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 1201/802, 5196/6795?
Answer: GCF of Numerators as per given numbers 1201/802, 5196/6795 is
GCF of Numerators i.e. for 1201,5196 is 1
LCM of denominators i.e. for 802,6795 is 5449590.
Thus, GCF of Fractions is 1/5449590.Finally, GCF of Fractions for 1201/802, 5196/6795 is 1/5449590.