Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/719,1967/870
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 307,1967
Greatest Common Factor of Numerators i.e. GCF of 307,1967 is 1 .
LCM of Denominators means LCM of 719,870 as per the given fractions.
LCM of 719,870 is 625530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1,7,281,1967
Greatest Common Factor
We found the factors 307,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 307,1967 is 1.
Lets's calculate LCM of 719,870
Given numbers has no common factors except 1. So, there LCM is their product i.e 625530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625530
Therefore, the GCF of Fractions 307/719,1967/870 is 1/625530
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 719,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,870) x common factors =1 x 1 = 1
LCM(719,870) = ( 719 × 870 ) / 1
LCM(719,870) = 625530 / 1
LCM(719,870) = 625530
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 307/719, 1967/870?
Answer: GCF of Numerators as per given numbers 307/719, 1967/870 is
GCF of Numerators i.e. for 307,1967 is 1
LCM of denominators i.e. for 719,870 is 625530.
Thus, GCF of Fractions is 1/625530.Finally, GCF of Fractions for 307/719, 1967/870 is 1/625530.