Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/881,580/969
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 32,580
Greatest Common Factor of Numerators i.e. GCF of 32,580 is 4 .
LCM of Denominators means LCM of 881,969 as per the given fractions.
LCM of 881,969 is 853689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,580
2 | 32, 580 |
2 | 16, 290 |
8, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 32,580 . The biggest common factor number is the GCF number.
So the greatest common factor 32,580 is 4.
Lets's calculate LCM of 881,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 853689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/853689
Therefore, the GCF of Fractions 32/881,580/969 is 4/853689
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 881,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,969) x common factors =1 x 1 = 1
LCM(881,969) = ( 881 × 969 ) / 1
LCM(881,969) = 853689 / 1
LCM(881,969) = 853689
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 32/881, 580/969?
Answer: GCF of Numerators as per given numbers 32/881, 580/969 is
GCF of Numerators i.e. for 32,580 is 4
LCM of denominators i.e. for 881,969 is 853689.
Thus, GCF of Fractions is 4/853689.Finally, GCF of Fractions for 32/881, 580/969 is 4/853689.