Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 680/598,6154/3462
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 680,6154
Greatest Common Factor of Numerators i.e. GCF of 680,6154 is 34 .
LCM of Denominators means LCM of 598,3462 as per the given fractions.
LCM of 598,3462 is 1035138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 680,6154
2 | 680, 6154 |
17 | 340, 3077 |
20, 181 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 6154
List of positive integer factors of 6154 that divides 6154 without a remainder.
1,2,17,34,181,362,3077,6154
Greatest Common Factor
We found the factors 680,6154 . The biggest common factor number is the GCF number.
So the greatest common factor 680,6154 is 34.
Lets's calculate LCM of 598,3462
2 | 598, 3462 |
299, 1731 |
∴ So the LCM of the given numbers is 2 x 299 x 1731 = 1035138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1035138
Therefore, the GCF of Fractions 680/598,6154/3462 is 34/1035138
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 598,3462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,3462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,3462) x common factors =2 x 1 = 2
LCM(598,3462) = ( 598 × 3462 ) / 2
LCM(598,3462) = 2070276 / 2
LCM(598,3462) = 1035138
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 680/598, 6154/3462?
Answer: GCF of Numerators as per given numbers 680/598, 6154/3462 is
GCF of Numerators i.e. for 680,6154 is 34
LCM of denominators i.e. for 598,3462 is 1035138.
Thus, GCF of Fractions is 34/1035138.Finally, GCF of Fractions for 680/598, 6154/3462 is 34/1035138.