Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1348/958,7967/507
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 1348,7967
Greatest Common Factor of Numerators i.e. GCF of 1348,7967 is 1 .
LCM of Denominators means LCM of 958,507 as per the given fractions.
LCM of 958,507 is 485706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1348,7967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1348
List of positive integer factors of 1348 that divides 1348 without a remainder.
1,2,4,337,674,1348
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1,31,257,7967
Greatest Common Factor
We found the factors 1348,7967 . The biggest common factor number is the GCF number.
So the greatest common factor 1348,7967 is 1.
Lets's calculate LCM of 958,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 485706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485706
Therefore, the GCF of Fractions 1348/958,7967/507 is 1/485706
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 958,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,507) x common factors =1 x 1 = 1
LCM(958,507) = ( 958 × 507 ) / 1
LCM(958,507) = 485706 / 1
LCM(958,507) = 485706
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 1348/958, 7967/507?
Answer: GCF of Numerators as per given numbers 1348/958, 7967/507 is
GCF of Numerators i.e. for 1348,7967 is 1
LCM of denominators i.e. for 958,507 is 485706.
Thus, GCF of Fractions is 1/485706.Finally, GCF of Fractions for 1348/958, 7967/507 is 1/485706.