Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/35,96/717,492/961
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 22,96,492
Greatest Common Factor of Numerators i.e. GCF of 22,96,492 is 2 .
LCM of Denominators means LCM of 35,717,961 as per the given fractions.
LCM of 35,717,961 is 24116295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,96,492
2 | 22, 96, 492 |
11, 48, 246 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
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 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 22,96,492 . The biggest common factor number is the GCF number.
So the greatest common factor 22,96,492 is 2.
Lets's calculate LCM of 35,717,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 24116295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24116295
Therefore, the GCF of Fractions 22/35,96/717,492/961 is 2/24116295
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 35,717,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,717,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,717,961) x common factors =1 x 1 = 1
LCM(35,717,961) = ( 35 × 717 × 961 ) / 1
LCM(35,717,961) = 24116295 / 1
LCM(35,717,961) = 24116295
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 22/35, 96/717, 492/961?
Answer: GCF of Numerators as per given numbers 22/35, 96/717, 492/961 is
GCF of Numerators i.e. for 22,96,492 is 2
LCM of denominators i.e. for 35,717,961 is 24116295.
Thus, GCF of Fractions is 2/24116295.Finally, GCF of Fractions for 22/35, 96/717, 492/961 is 2/24116295.