Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/60,83/45,71/73,23/71
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 62,83,71,23
Greatest Common Factor of Numerators i.e. GCF of 62,83,71,23 is 1 .
LCM of Denominators means LCM of 60,45,73,71 as per the given fractions.
LCM of 60,45,73,71 is 932940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,83,71,23
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Greatest Common Factor
We found the factors 62,83,71,23 . The biggest common factor number is the GCF number.
So the greatest common factor 62,83,71,23 is 1.
Lets's calculate LCM of 60,45,73,71
3 | 60, 45, 73, 71 |
5 | 20, 15, 73, 71 |
4, 3, 73, 71 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 3 x 73 x 71 = 932940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/932940
Therefore, the GCF of Fractions 62/60,83/45,71/73,23/71 is 1/932940
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 60,45,73,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,45,73,71) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(60,45,73,71) x common factors =1 x 15 = 15
LCM(60,45,73,71) = ( 60 × 45 × 73 × 71 ) / 15
LCM(60,45,73,71) = 13994100 / 15
LCM(60,45,73,71) = 932940
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 62/60, 83/45, 71/73, 23/71?
Answer: GCF of Numerators as per given numbers 62/60, 83/45, 71/73, 23/71 is
GCF of Numerators i.e. for 62,83,71,23 is 1
LCM of denominators i.e. for 60,45,73,71 is 932940.
Thus, GCF of Fractions is 1/932940.Finally, GCF of Fractions for 62/60, 83/45, 71/73, 23/71 is 1/932940.