Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/92,814/53,649/925
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 397,814,649
Greatest Common Factor of Numerators i.e. GCF of 397,814,649 is 1 .
LCM of Denominators means LCM of 92,53,925 as per the given fractions.
LCM of 92,53,925 is 4510300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,814,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 397,814,649 . The biggest common factor number is the GCF number.
So the greatest common factor 397,814,649 is 1.
Lets's calculate LCM of 92,53,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 4510300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4510300
Therefore, the GCF of Fractions 397/92,814/53,649/925 is 1/4510300
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 92,53,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,53,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,53,925) x common factors =1 x 1 = 1
LCM(92,53,925) = ( 92 × 53 × 925 ) / 1
LCM(92,53,925) = 4510300 / 1
LCM(92,53,925) = 4510300
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 397/92, 814/53, 649/925?
Answer: GCF of Numerators as per given numbers 397/92, 814/53, 649/925 is
GCF of Numerators i.e. for 397,814,649 is 1
LCM of denominators i.e. for 92,53,925 is 4510300.
Thus, GCF of Fractions is 1/4510300.Finally, GCF of Fractions for 397/92, 814/53, 649/925 is 1/4510300.