Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/13,224/89,126/133
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 76,224,126
Greatest Common Factor of Numerators i.e. GCF of 76,224,126 is 2 .
LCM of Denominators means LCM of 13,89,133 as per the given fractions.
LCM of 13,89,133 is 153881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,224,126
2 | 76, 224, 126 |
38, 112, 63 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 76,224,126 . The biggest common factor number is the GCF number.
So the greatest common factor 76,224,126 is 2.
Lets's calculate LCM of 13,89,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 153881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153881
Therefore, the GCF of Fractions 76/13,224/89,126/133 is 2/153881
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 13,89,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,89,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,89,133) x common factors =1 x 1 = 1
LCM(13,89,133) = ( 13 × 89 × 133 ) / 1
LCM(13,89,133) = 153881 / 1
LCM(13,89,133) = 153881
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 76/13, 224/89, 126/133?
Answer: GCF of Numerators as per given numbers 76/13, 224/89, 126/133 is
GCF of Numerators i.e. for 76,224,126 is 2
LCM of denominators i.e. for 13,89,133 is 153881.
Thus, GCF of Fractions is 2/153881.Finally, GCF of Fractions for 76/13, 224/89, 126/133 is 2/153881.