Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/97,262/3792
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 697,262
Greatest Common Factor of Numerators i.e. GCF of 697,262 is 1 .
LCM of Denominators means LCM of 97,3792 as per the given fractions.
LCM of 97,3792 is 367824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 697,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 697,262 . The biggest common factor number is the GCF number.
So the greatest common factor 697,262 is 1.
Lets's calculate LCM of 97,3792
Given numbers has no common factors except 1. So, there LCM is their product i.e 367824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367824
Therefore, the GCF of Fractions 697/97,262/3792 is 1/367824
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 97,3792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,3792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,3792) x common factors =1 x 1 = 1
LCM(97,3792) = ( 97 × 3792 ) / 1
LCM(97,3792) = 367824 / 1
LCM(97,3792) = 367824
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 697/97, 262/3792?
Answer: GCF of Numerators as per given numbers 697/97, 262/3792 is
GCF of Numerators i.e. for 697,262 is 1
LCM of denominators i.e. for 97,3792 is 367824.
Thus, GCF of Fractions is 1/367824.Finally, GCF of Fractions for 697/97, 262/3792 is 1/367824.