Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/23,98/92,58/36,60/736
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 79,98,58,60
Greatest Common Factor of Numerators i.e. GCF of 79,98,58,60 is 1 .
LCM of Denominators means LCM of 23,92,36,736 as per the given fractions.
LCM of 23,92,36,736 is 6624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,98,58,60
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
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
Greatest Common Factor
We found the factors 79,98,58,60 . The biggest common factor number is the GCF number.
So the greatest common factor 79,98,58,60 is 1.
Lets's calculate LCM of 23,92,36,736
2 | 23, 92, 36, 736 |
2 | 23, 46, 18, 368 |
23 | 23, 23, 9, 184 |
1, 1, 9, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 1 x 9 x 8 = 6624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6624
Therefore, the GCF of Fractions 79/23,98/92,58/36,60/736 is 1/6624
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 23,92,36,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,92,36,736) = 1
common factors(in case of two or more numbers have common factors) = 8464
GCF(23,92,36,736) x common factors =1 x 8464 = 8464
LCM(23,92,36,736) = ( 23 × 92 × 36 × 736 ) / 8464
LCM(23,92,36,736) = 56065536 / 8464
LCM(23,92,36,736) = 6624
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 79/23, 98/92, 58/36, 60/736?
Answer: GCF of Numerators as per given numbers 79/23, 98/92, 58/36, 60/736 is
GCF of Numerators i.e. for 79,98,58,60 is 1
LCM of denominators i.e. for 23,92,36,736 is 6624.
Thus, GCF of Fractions is 1/6624.Finally, GCF of Fractions for 79/23, 98/92, 58/36, 60/736 is 1/6624.