Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/581,404/974
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 807,404
Greatest Common Factor of Numerators i.e. GCF of 807,404 is 1 .
LCM of Denominators means LCM of 581,974 as per the given fractions.
LCM of 581,974 is 565894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 807,404 . The biggest common factor number is the GCF number.
So the greatest common factor 807,404 is 1.
Lets's calculate LCM of 581,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 565894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565894
Therefore, the GCF of Fractions 807/581,404/974 is 1/565894
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 581,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,974) x common factors =1 x 1 = 1
LCM(581,974) = ( 581 × 974 ) / 1
LCM(581,974) = 565894 / 1
LCM(581,974) = 565894
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 807/581, 404/974?
Answer: GCF of Numerators as per given numbers 807/581, 404/974 is
GCF of Numerators i.e. for 807,404 is 1
LCM of denominators i.e. for 581,974 is 565894.
Thus, GCF of Fractions is 1/565894.Finally, GCF of Fractions for 807/581, 404/974 is 1/565894.