Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/54,17/40,70/140,986/712
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 6,17,70,986
Greatest Common Factor of Numerators i.e. GCF of 6,17,70,986 is 1 .
LCM of Denominators means LCM of 54,40,140,712 as per the given fractions.
LCM of 54,40,140,712 is 672840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,17,70,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 6,17,70,986 . The biggest common factor number is the GCF number.
So the greatest common factor 6,17,70,986 is 1.
Lets's calculate LCM of 54,40,140,712
2 | 54, 40, 140, 712 |
2 | 27, 20, 70, 356 |
2 | 27, 10, 35, 178 |
5 | 27, 5, 35, 89 |
27, 1, 7, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 27 x 1 x 7 x 89 = 672840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672840
Therefore, the GCF of Fractions 6/54,17/40,70/140,986/712 is 1/672840
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 54,40,140,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,40,140,712) = 2
common factors(in case of two or more numbers have common factors) = 160
GCF(54,40,140,712) x common factors =2 x 160 = 320
LCM(54,40,140,712) = ( 54 × 40 × 140 × 712 ) / 320
LCM(54,40,140,712) = 215308800 / 320
LCM(54,40,140,712) = 672840
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 6/54, 17/40, 70/140, 986/712?
Answer: GCF of Numerators as per given numbers 6/54, 17/40, 70/140, 986/712 is
GCF of Numerators i.e. for 6,17,70,986 is 1
LCM of denominators i.e. for 54,40,140,712 is 672840.
Thus, GCF of Fractions is 1/672840.Finally, GCF of Fractions for 6/54, 17/40, 70/140, 986/712 is 1/672840.