Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/93,94/63,96/52,35/372
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 26,94,96,35
Greatest Common Factor of Numerators i.e. GCF of 26,94,96,35 is 1 .
LCM of Denominators means LCM of 93,63,52,372 as per the given fractions.
LCM of 93,63,52,372 is 101556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,94,96,35
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Greatest Common Factor
We found the factors 26,94,96,35 . The biggest common factor number is the GCF number.
So the greatest common factor 26,94,96,35 is 1.
Lets's calculate LCM of 93,63,52,372
2 | 93, 63, 52, 372 |
2 | 93, 63, 26, 186 |
3 | 93, 63, 13, 93 |
31 | 31, 21, 13, 31 |
1, 21, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 1 x 21 x 13 x 1 = 101556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101556
Therefore, the GCF of Fractions 26/93,94/63,96/52,35/372 is 1/101556
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 93,63,52,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,63,52,372) = 1
common factors(in case of two or more numbers have common factors) = 1116
GCF(93,63,52,372) x common factors =1 x 1116 = 1116
LCM(93,63,52,372) = ( 93 × 63 × 52 × 372 ) / 1116
LCM(93,63,52,372) = 113336496 / 1116
LCM(93,63,52,372) = 101556
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 26/93, 94/63, 96/52, 35/372?
Answer: GCF of Numerators as per given numbers 26/93, 94/63, 96/52, 35/372 is
GCF of Numerators i.e. for 26,94,96,35 is 1
LCM of denominators i.e. for 93,63,52,372 is 101556.
Thus, GCF of Fractions is 1/101556.Finally, GCF of Fractions for 26/93, 94/63, 96/52, 35/372 is 1/101556.