Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/58,974/703
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 426,974
Greatest Common Factor of Numerators i.e. GCF of 426,974 is 2 .
LCM of Denominators means LCM of 58,703 as per the given fractions.
LCM of 58,703 is 40774 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,974
2 | 426, 974 |
213, 487 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 426,974 . The biggest common factor number is the GCF number.
So the greatest common factor 426,974 is 2.
Lets's calculate LCM of 58,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 40774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40774
Therefore, the GCF of Fractions 426/58,974/703 is 2/40774
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 58,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,703) x common factors =1 x 1 = 1
LCM(58,703) = ( 58 × 703 ) / 1
LCM(58,703) = 40774 / 1
LCM(58,703) = 40774
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 426/58, 974/703?
Answer: GCF of Numerators as per given numbers 426/58, 974/703 is
GCF of Numerators i.e. for 426,974 is 2
LCM of denominators i.e. for 58,703 is 40774.
Thus, GCF of Fractions is 2/40774.Finally, GCF of Fractions for 426/58, 974/703 is 2/40774.