Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/607,378/442,837/522
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 39,378,837
Greatest Common Factor of Numerators i.e. GCF of 39,378,837 is 3 .
LCM of Denominators means LCM of 607,442,522 as per the given fractions.
LCM of 607,442,522 is 70024734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,378,837
3 | 39, 378, 837 |
13, 126, 279 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 39,378,837 . The biggest common factor number is the GCF number.
So the greatest common factor 39,378,837 is 3.
Lets's calculate LCM of 607,442,522
2 | 607, 442, 522 |
607, 221, 261 |
∴ So the LCM of the given numbers is 2 x 607 x 221 x 261 = 70024734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70024734
Therefore, the GCF of Fractions 39/607,378/442,837/522 is 3/70024734
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 607,442,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,442,522) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(607,442,522) x common factors =1 x 2 = 2
LCM(607,442,522) = ( 607 × 442 × 522 ) / 2
LCM(607,442,522) = 140049468 / 2
LCM(607,442,522) = 70024734
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 39/607, 378/442, 837/522?
Answer: GCF of Numerators as per given numbers 39/607, 378/442, 837/522 is
GCF of Numerators i.e. for 39,378,837 is 3
LCM of denominators i.e. for 607,442,522 is 70024734.
Thus, GCF of Fractions is 3/70024734.Finally, GCF of Fractions for 39/607, 378/442, 837/522 is 3/70024734.