Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/458,710/797,874/659
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 26,710,874
Greatest Common Factor of Numerators i.e. GCF of 26,710,874 is 2 .
LCM of Denominators means LCM of 458,797,659 as per the given fractions.
LCM of 458,797,659 is 240552134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,710,874
2 | 26, 710, 874 |
13, 355, 437 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 26,710,874 . The biggest common factor number is the GCF number.
So the greatest common factor 26,710,874 is 2.
Lets's calculate LCM of 458,797,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 240552134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240552134
Therefore, the GCF of Fractions 26/458,710/797,874/659 is 2/240552134
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 458,797,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,797,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,797,659) x common factors =1 x 1 = 1
LCM(458,797,659) = ( 458 × 797 × 659 ) / 1
LCM(458,797,659) = 240552134 / 1
LCM(458,797,659) = 240552134
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 26/458, 710/797, 874/659?
Answer: GCF of Numerators as per given numbers 26/458, 710/797, 874/659 is
GCF of Numerators i.e. for 26,710,874 is 2
LCM of denominators i.e. for 458,797,659 is 240552134.
Thus, GCF of Fractions is 2/240552134.Finally, GCF of Fractions for 26/458, 710/797, 874/659 is 2/240552134.