Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1980/86,6975/677
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 1980,6975
Greatest Common Factor of Numerators i.e. GCF of 1980,6975 is 45 .
LCM of Denominators means LCM of 86,677 as per the given fractions.
LCM of 86,677 is 58222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1980,6975
3 | 1980, 6975 |
3 | 660, 2325 |
5 | 220, 775 |
44, 155 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Factors of 1980
List of positive integer factors of 1980 that divides 1980 without a remainder.
1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Factors of 6975
List of positive integer factors of 6975 that divides 6975 without a remainder.
1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 1980,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 1980,6975 is 45.
Lets's calculate LCM of 86,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 58222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/58222
Therefore, the GCF of Fractions 1980/86,6975/677 is 45/58222
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 86,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,677) x common factors =1 x 1 = 1
LCM(86,677) = ( 86 × 677 ) / 1
LCM(86,677) = 58222 / 1
LCM(86,677) = 58222
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 1980/86, 6975/677?
Answer: GCF of Numerators as per given numbers 1980/86, 6975/677 is
GCF of Numerators i.e. for 1980,6975 is 45
LCM of denominators i.e. for 86,677 is 58222.
Thus, GCF of Fractions is 45/58222.Finally, GCF of Fractions for 1980/86, 6975/677 is 45/58222.