Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6403/74,6201/662
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 6403,6201
Greatest Common Factor of Numerators i.e. GCF of 6403,6201 is 1 .
LCM of Denominators means LCM of 74,662 as per the given fractions.
LCM of 74,662 is 24494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6403,6201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6403
List of positive integer factors of 6403 that divides 6403 without a remainder.
1,19,337,6403
Factors of 6201
List of positive integer factors of 6201 that divides 6201 without a remainder.
1,3,9,13,39,53,117,159,477,689,2067,6201
Greatest Common Factor
We found the factors 6403,6201 . The biggest common factor number is the GCF number.
So the greatest common factor 6403,6201 is 1.
Lets's calculate LCM of 74,662
2 | 74, 662 |
37, 331 |
∴ So the LCM of the given numbers is 2 x 37 x 331 = 24494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24494
Therefore, the GCF of Fractions 6403/74,6201/662 is 1/24494
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 74,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,662) x common factors =2 x 1 = 2
LCM(74,662) = ( 74 × 662 ) / 2
LCM(74,662) = 48988 / 2
LCM(74,662) = 24494
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 6403/74, 6201/662?
Answer: GCF of Numerators as per given numbers 6403/74, 6201/662 is
GCF of Numerators i.e. for 6403,6201 is 1
LCM of denominators i.e. for 74,662 is 24494.
Thus, GCF of Fractions is 1/24494.Finally, GCF of Fractions for 6403/74, 6201/662 is 1/24494.