Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/796,602/199,785/479
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 37,602,785
Greatest Common Factor of Numerators i.e. GCF of 37,602,785 is 1 .
LCM of Denominators means LCM of 796,199,479 as per the given fractions.
LCM of 796,199,479 is 381284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,602,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 37,602,785 . The biggest common factor number is the GCF number.
So the greatest common factor 37,602,785 is 1.
Lets's calculate LCM of 796,199,479
199 | 796, 199, 479 |
4, 1, 479 |
∴ So the LCM of the given numbers is 199 x 4 x 1 x 479 = 381284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381284
Therefore, the GCF of Fractions 37/796,602/199,785/479 is 1/381284
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 796,199,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,199,479) = 1
common factors(in case of two or more numbers have common factors) = 199
GCF(796,199,479) x common factors =1 x 199 = 199
LCM(796,199,479) = ( 796 × 199 × 479 ) / 199
LCM(796,199,479) = 75875516 / 199
LCM(796,199,479) = 381284
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 37/796, 602/199, 785/479?
Answer: GCF of Numerators as per given numbers 37/796, 602/199, 785/479 is
GCF of Numerators i.e. for 37,602,785 is 1
LCM of denominators i.e. for 796,199,479 is 381284.
Thus, GCF of Fractions is 1/381284.Finally, GCF of Fractions for 37/796, 602/199, 785/479 is 1/381284.