Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/296,106/581,963/936
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 88,106,963
Greatest Common Factor of Numerators i.e. GCF of 88,106,963 is 1 .
LCM of Denominators means LCM of 296,581,936 as per the given fractions.
LCM of 296,581,936 is 20121192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,106,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 88,106,963 . The biggest common factor number is the GCF number.
So the greatest common factor 88,106,963 is 1.
Lets's calculate LCM of 296,581,936
2 | 296, 581, 936 |
2 | 148, 581, 468 |
2 | 74, 581, 234 |
37, 581, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 581 x 117 = 20121192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20121192
Therefore, the GCF of Fractions 88/296,106/581,963/936 is 1/20121192
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 296,581,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,581,936) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(296,581,936) x common factors =1 x 8 = 8
LCM(296,581,936) = ( 296 × 581 × 936 ) / 8
LCM(296,581,936) = 160969536 / 8
LCM(296,581,936) = 20121192
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 88/296, 106/581, 963/936?
Answer: GCF of Numerators as per given numbers 88/296, 106/581, 963/936 is
GCF of Numerators i.e. for 88,106,963 is 1
LCM of denominators i.e. for 296,581,936 is 20121192.
Thus, GCF of Fractions is 1/20121192.Finally, GCF of Fractions for 88/296, 106/581, 963/936 is 1/20121192.