Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 893/801,582/428,110/840
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 893,582,110
Greatest Common Factor of Numerators i.e. GCF of 893,582,110 is 1 .
LCM of Denominators means LCM of 801,428,840 as per the given fractions.
LCM of 801,428,840 is 23997960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 893,582,110
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 893,582,110 . The biggest common factor number is the GCF number.
So the greatest common factor 893,582,110 is 1.
Lets's calculate LCM of 801,428,840
2 | 801, 428, 840 |
2 | 801, 214, 420 |
3 | 801, 107, 210 |
267, 107, 70 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 267 x 107 x 70 = 23997960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23997960
Therefore, the GCF of Fractions 893/801,582/428,110/840 is 1/23997960
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 801,428,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,428,840) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(801,428,840) x common factors =1 x 12 = 12
LCM(801,428,840) = ( 801 × 428 × 840 ) / 12
LCM(801,428,840) = 287975520 / 12
LCM(801,428,840) = 23997960
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 893/801, 582/428, 110/840?
Answer: GCF of Numerators as per given numbers 893/801, 582/428, 110/840 is
GCF of Numerators i.e. for 893,582,110 is 1
LCM of denominators i.e. for 801,428,840 is 23997960.
Thus, GCF of Fractions is 1/23997960.Finally, GCF of Fractions for 893/801, 582/428, 110/840 is 1/23997960.