Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/47,697/63,794/726
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 879,697,794
Greatest Common Factor of Numerators i.e. GCF of 879,697,794 is 1 .
LCM of Denominators means LCM of 47,63,726 as per the given fractions.
LCM of 47,63,726 is 716562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,697,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 879,697,794 . The biggest common factor number is the GCF number.
So the greatest common factor 879,697,794 is 1.
Lets's calculate LCM of 47,63,726
3 | 47, 63, 726 |
47, 21, 242 |
∴ So the LCM of the given numbers is 3 x 47 x 21 x 242 = 716562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716562
Therefore, the GCF of Fractions 879/47,697/63,794/726 is 1/716562
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 47,63,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,63,726) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,63,726) x common factors =1 x 3 = 3
LCM(47,63,726) = ( 47 × 63 × 726 ) / 3
LCM(47,63,726) = 2149686 / 3
LCM(47,63,726) = 716562
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 879/47, 697/63, 794/726?
Answer: GCF of Numerators as per given numbers 879/47, 697/63, 794/726 is
GCF of Numerators i.e. for 879,697,794 is 1
LCM of denominators i.e. for 47,63,726 is 716562.
Thus, GCF of Fractions is 1/716562.Finally, GCF of Fractions for 879/47, 697/63, 794/726 is 1/716562.