Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 276/97,875/87,805/39
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 276,875,805
Greatest Common Factor of Numerators i.e. GCF of 276,875,805 is 1 .
LCM of Denominators means LCM of 97,87,39 as per the given fractions.
LCM of 97,87,39 is 109707 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 276,875,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 276,875,805 . The biggest common factor number is the GCF number.
So the greatest common factor 276,875,805 is 1.
Lets's calculate LCM of 97,87,39
3 | 97, 87, 39 |
97, 29, 13 |
∴ So the LCM of the given numbers is 3 x 97 x 29 x 13 = 109707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109707
Therefore, the GCF of Fractions 276/97,875/87,805/39 is 1/109707
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 97,87,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,87,39) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,87,39) x common factors =1 x 3 = 3
LCM(97,87,39) = ( 97 × 87 × 39 ) / 3
LCM(97,87,39) = 329121 / 3
LCM(97,87,39) = 109707
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 276/97, 875/87, 805/39?
Answer: GCF of Numerators as per given numbers 276/97, 875/87, 805/39 is
GCF of Numerators i.e. for 276,875,805 is 1
LCM of denominators i.e. for 97,87,39 is 109707.
Thus, GCF of Fractions is 1/109707.Finally, GCF of Fractions for 276/97, 875/87, 805/39 is 1/109707.