Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/57,35/87,81/87,45/630
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 78,35,81,45
Greatest Common Factor of Numerators i.e. GCF of 78,35,81,45 is 1 .
LCM of Denominators means LCM of 57,87,87,630 as per the given fractions.
LCM of 57,87,87,630 is 347130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,35,81,45
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 78,35,81,45 . The biggest common factor number is the GCF number.
So the greatest common factor 78,35,81,45 is 1.
Lets's calculate LCM of 57,87,87,630
3 | 57, 87, 87, 630 |
29 | 19, 29, 29, 210 |
19, 1, 1, 210 |
∴ So the LCM of the given numbers is 3 x 29 x 19 x 1 x 1 x 210 = 347130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347130
Therefore, the GCF of Fractions 78/57,35/87,81/87,45/630 is 1/347130
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 57,87,87,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,87,87,630) = 3
common factors(in case of two or more numbers have common factors) = 261
GCF(57,87,87,630) x common factors =3 x 261 = 783
LCM(57,87,87,630) = ( 57 × 87 × 87 × 630 ) / 783
LCM(57,87,87,630) = 271802790 / 783
LCM(57,87,87,630) = 347130
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 78/57, 35/87, 81/87, 45/630?
Answer: GCF of Numerators as per given numbers 78/57, 35/87, 81/87, 45/630 is
GCF of Numerators i.e. for 78,35,81,45 is 1
LCM of denominators i.e. for 57,87,87,630 is 347130.
Thus, GCF of Fractions is 1/347130.Finally, GCF of Fractions for 78/57, 35/87, 81/87, 45/630 is 1/347130.