Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 712/306,106/916
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 712,106
Greatest Common Factor of Numerators i.e. GCF of 712,106 is 2 .
LCM of Denominators means LCM of 306,916 as per the given fractions.
LCM of 306,916 is 140148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 712,106
2 | 712, 106 |
356, 53 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 712,106 . The biggest common factor number is the GCF number.
So the greatest common factor 712,106 is 2.
Lets's calculate LCM of 306,916
2 | 306, 916 |
153, 458 |
∴ So the LCM of the given numbers is 2 x 153 x 458 = 140148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140148
Therefore, the GCF of Fractions 712/306,106/916 is 2/140148
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 306,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,916) x common factors =2 x 1 = 2
LCM(306,916) = ( 306 × 916 ) / 2
LCM(306,916) = 280296 / 2
LCM(306,916) = 140148
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 712/306, 106/916?
Answer: GCF of Numerators as per given numbers 712/306, 106/916 is
GCF of Numerators i.e. for 712,106 is 2
LCM of denominators i.e. for 306,916 is 140148.
Thus, GCF of Fractions is 2/140148.Finally, GCF of Fractions for 712/306, 106/916 is 2/140148.