Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/63,60/92,69/70,569/20
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 59,60,69,569
Greatest Common Factor of Numerators i.e. GCF of 59,60,69,569 is 1 .
LCM of Denominators means LCM of 63,92,70,20 as per the given fractions.
LCM of 63,92,70,20 is 28980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,60,69,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 59,60,69,569 . The biggest common factor number is the GCF number.
So the greatest common factor 59,60,69,569 is 1.
Lets's calculate LCM of 63,92,70,20
2 | 63, 92, 70, 20 |
2 | 63, 46, 35, 10 |
5 | 63, 23, 35, 5 |
7 | 63, 23, 7, 1 |
9, 23, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 9 x 23 x 1 x 1 = 28980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28980
Therefore, the GCF of Fractions 59/63,60/92,69/70,569/20 is 1/28980
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 63,92,70,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,92,70,20) = 1
common factors(in case of two or more numbers have common factors) = 280
GCF(63,92,70,20) x common factors =1 x 280 = 280
LCM(63,92,70,20) = ( 63 × 92 × 70 × 20 ) / 280
LCM(63,92,70,20) = 8114400 / 280
LCM(63,92,70,20) = 28980
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 59/63, 60/92, 69/70, 569/20?
Answer: GCF of Numerators as per given numbers 59/63, 60/92, 69/70, 569/20 is
GCF of Numerators i.e. for 59,60,69,569 is 1
LCM of denominators i.e. for 63,92,70,20 is 28980.
Thus, GCF of Fractions is 1/28980.Finally, GCF of Fractions for 59/63, 60/92, 69/70, 569/20 is 1/28980.