Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/77,71/12,63/40,22/17
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 93,71,63,22
Greatest Common Factor of Numerators i.e. GCF of 93,71,63,22 is 1 .
LCM of Denominators means LCM of 77,12,40,17 as per the given fractions.
LCM of 77,12,40,17 is 157080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,71,63,22
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 93,71,63,22 . The biggest common factor number is the GCF number.
So the greatest common factor 93,71,63,22 is 1.
Lets's calculate LCM of 77,12,40,17
2 | 77, 12, 40, 17 |
2 | 77, 6, 20, 17 |
77, 3, 10, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 77 x 3 x 10 x 17 = 157080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157080
Therefore, the GCF of Fractions 93/77,71/12,63/40,22/17 is 1/157080
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 77,12,40,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,12,40,17) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(77,12,40,17) x common factors =1 x 4 = 4
LCM(77,12,40,17) = ( 77 × 12 × 40 × 17 ) / 4
LCM(77,12,40,17) = 628320 / 4
LCM(77,12,40,17) = 157080
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 93/77, 71/12, 63/40, 22/17?
Answer: GCF of Numerators as per given numbers 93/77, 71/12, 63/40, 22/17 is
GCF of Numerators i.e. for 93,71,63,22 is 1
LCM of denominators i.e. for 77,12,40,17 is 157080.
Thus, GCF of Fractions is 1/157080.Finally, GCF of Fractions for 93/77, 71/12, 63/40, 22/17 is 1/157080.