Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 918/554,425/318
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 918,425
Greatest Common Factor of Numerators i.e. GCF of 918,425 is 17 .
LCM of Denominators means LCM of 554,318 as per the given fractions.
LCM of 554,318 is 88086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 918,425
17 | 918, 425 |
54, 25 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 918,425 . The biggest common factor number is the GCF number.
So the greatest common factor 918,425 is 17.
Lets's calculate LCM of 554,318
2 | 554, 318 |
277, 159 |
∴ So the LCM of the given numbers is 2 x 277 x 159 = 88086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/88086
Therefore, the GCF of Fractions 918/554,425/318 is 17/88086
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 554,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,318) x common factors =2 x 1 = 2
LCM(554,318) = ( 554 × 318 ) / 2
LCM(554,318) = 176172 / 2
LCM(554,318) = 88086
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 918/554, 425/318?
Answer: GCF of Numerators as per given numbers 918/554, 425/318 is
GCF of Numerators i.e. for 918,425 is 17
LCM of denominators i.e. for 554,318 is 88086.
Thus, GCF of Fractions is 17/88086.Finally, GCF of Fractions for 918/554, 425/318 is 17/88086.