Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/56,71/22,43/42,52/48
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 59,71,43,52
Greatest Common Factor of Numerators i.e. GCF of 59,71,43,52 is 1 .
LCM of Denominators means LCM of 56,22,42,48 as per the given fractions.
LCM of 56,22,42,48 is 3696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,71,43,52
∴ 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 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 59,71,43,52 . The biggest common factor number is the GCF number.
So the greatest common factor 59,71,43,52 is 1.
Lets's calculate LCM of 56,22,42,48
2 | 56, 22, 42, 48 |
2 | 28, 11, 21, 24 |
2 | 14, 11, 21, 12 |
3 | 7, 11, 21, 6 |
7 | 7, 11, 7, 2 |
1, 11, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 11 x 1 x 2 = 3696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3696
Therefore, the GCF of Fractions 59/56,71/22,43/42,52/48 is 1/3696
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 56,22,42,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,22,42,48) = 2
common factors(in case of two or more numbers have common factors) = 336
GCF(56,22,42,48) x common factors =2 x 336 = 672
LCM(56,22,42,48) = ( 56 × 22 × 42 × 48 ) / 672
LCM(56,22,42,48) = 2483712 / 672
LCM(56,22,42,48) = 3696
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 59/56, 71/22, 43/42, 52/48?
Answer: GCF of Numerators as per given numbers 59/56, 71/22, 43/42, 52/48 is
GCF of Numerators i.e. for 59,71,43,52 is 1
LCM of denominators i.e. for 56,22,42,48 is 3696.
Thus, GCF of Fractions is 1/3696.Finally, GCF of Fractions for 59/56, 71/22, 43/42, 52/48 is 1/3696.