Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/93,374/89,825/833
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 671,374,825
Greatest Common Factor of Numerators i.e. GCF of 671,374,825 is 11 .
LCM of Denominators means LCM of 93,89,833 as per the given fractions.
LCM of 93,89,833 is 6894741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 671,374,825
11 | 671, 374, 825 |
61, 34, 75 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 671,374,825 . The biggest common factor number is the GCF number.
So the greatest common factor 671,374,825 is 11.
Lets's calculate LCM of 93,89,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 6894741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6894741
Therefore, the GCF of Fractions 671/93,374/89,825/833 is 11/6894741
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 93,89,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,89,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,89,833) x common factors =1 x 1 = 1
LCM(93,89,833) = ( 93 × 89 × 833 ) / 1
LCM(93,89,833) = 6894741 / 1
LCM(93,89,833) = 6894741
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 671/93, 374/89, 825/833?
Answer: GCF of Numerators as per given numbers 671/93, 374/89, 825/833 is
GCF of Numerators i.e. for 671,374,825 is 11
LCM of denominators i.e. for 93,89,833 is 6894741.
Thus, GCF of Fractions is 11/6894741.Finally, GCF of Fractions for 671/93, 374/89, 825/833 is 11/6894741.