Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/598,5996/7025
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 34,5996
Greatest Common Factor of Numerators i.e. GCF of 34,5996 is 2 .
LCM of Denominators means LCM of 598,7025 as per the given fractions.
LCM of 598,7025 is 4200950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,5996
2 | 34, 5996 |
17, 2998 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 5996
List of positive integer factors of 5996 that divides 5996 without a remainder.
1,2,4,1499,2998,5996
Greatest Common Factor
We found the factors 34,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5996 is 2.
Lets's calculate LCM of 598,7025
Given numbers has no common factors except 1. So, there LCM is their product i.e 4200950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4200950
Therefore, the GCF of Fractions 34/598,5996/7025 is 2/4200950
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 598,7025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,7025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,7025) x common factors =1 x 1 = 1
LCM(598,7025) = ( 598 × 7025 ) / 1
LCM(598,7025) = 4200950 / 1
LCM(598,7025) = 4200950
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 34/598, 5996/7025?
Answer: GCF of Numerators as per given numbers 34/598, 5996/7025 is
GCF of Numerators i.e. for 34,5996 is 2
LCM of denominators i.e. for 598,7025 is 4200950.
Thus, GCF of Fractions is 2/4200950.Finally, GCF of Fractions for 34/598, 5996/7025 is 2/4200950.