Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/69,253/718
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 898,253
Greatest Common Factor of Numerators i.e. GCF of 898,253 is 1 .
LCM of Denominators means LCM of 69,718 as per the given fractions.
LCM of 69,718 is 49542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 898,253 . The biggest common factor number is the GCF number.
So the greatest common factor 898,253 is 1.
Lets's calculate LCM of 69,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 49542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49542
Therefore, the GCF of Fractions 898/69,253/718 is 1/49542
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 69,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,718) x common factors =1 x 1 = 1
LCM(69,718) = ( 69 × 718 ) / 1
LCM(69,718) = 49542 / 1
LCM(69,718) = 49542
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 898/69, 253/718?
Answer: GCF of Numerators as per given numbers 898/69, 253/718 is
GCF of Numerators i.e. for 898,253 is 1
LCM of denominators i.e. for 69,718 is 49542.
Thus, GCF of Fractions is 1/49542.Finally, GCF of Fractions for 898/69, 253/718 is 1/49542.