Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/618,651/683,990/930
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 80,651,990
Greatest Common Factor of Numerators i.e. GCF of 80,651,990 is 1 .
LCM of Denominators means LCM of 618,683,930 as per the given fractions.
LCM of 618,683,930 is 65424570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,651,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 80,651,990 . The biggest common factor number is the GCF number.
So the greatest common factor 80,651,990 is 1.
Lets's calculate LCM of 618,683,930
2 | 618, 683, 930 |
3 | 309, 683, 465 |
103, 683, 155 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 683 x 155 = 65424570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65424570
Therefore, the GCF of Fractions 80/618,651/683,990/930 is 1/65424570
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 618,683,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,683,930) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(618,683,930) x common factors =1 x 6 = 6
LCM(618,683,930) = ( 618 × 683 × 930 ) / 6
LCM(618,683,930) = 392547420 / 6
LCM(618,683,930) = 65424570
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 80/618, 651/683, 990/930?
Answer: GCF of Numerators as per given numbers 80/618, 651/683, 990/930 is
GCF of Numerators i.e. for 80,651,990 is 1
LCM of denominators i.e. for 618,683,930 is 65424570.
Thus, GCF of Fractions is 1/65424570.Finally, GCF of Fractions for 80/618, 651/683, 990/930 is 1/65424570.