Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/2268,397/3349
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 692,397
Greatest Common Factor of Numerators i.e. GCF of 692,397 is 1 .
LCM of Denominators means LCM of 2268,3349 as per the given fractions.
LCM of 2268,3349 is 7595532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 692,397 . The biggest common factor number is the GCF number.
So the greatest common factor 692,397 is 1.
Lets's calculate LCM of 2268,3349
Given numbers has no common factors except 1. So, there LCM is their product i.e 7595532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7595532
Therefore, the GCF of Fractions 692/2268,397/3349 is 1/7595532
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 2268,3349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2268,3349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2268,3349) x common factors =1 x 1 = 1
LCM(2268,3349) = ( 2268 × 3349 ) / 1
LCM(2268,3349) = 7595532 / 1
LCM(2268,3349) = 7595532
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 692/2268, 397/3349?
Answer: GCF of Numerators as per given numbers 692/2268, 397/3349 is
GCF of Numerators i.e. for 692,397 is 1
LCM of denominators i.e. for 2268,3349 is 7595532.
Thus, GCF of Fractions is 1/7595532.Finally, GCF of Fractions for 692/2268, 397/3349 is 1/7595532.