Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/91,6291/691
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 628,6291
Greatest Common Factor of Numerators i.e. GCF of 628,6291 is 1 .
LCM of Denominators means LCM of 91,691 as per the given fractions.
LCM of 91,691 is 62881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 628,6291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 6291
List of positive integer factors of 6291 that divides 6291 without a remainder.
1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 628,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 628,6291 is 1.
Lets's calculate LCM of 91,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 62881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62881
Therefore, the GCF of Fractions 628/91,6291/691 is 1/62881
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 91,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,691) x common factors =1 x 1 = 1
LCM(91,691) = ( 91 × 691 ) / 1
LCM(91,691) = 62881 / 1
LCM(91,691) = 62881
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 628/91, 6291/691?
Answer: GCF of Numerators as per given numbers 628/91, 6291/691 is
GCF of Numerators i.e. for 628,6291 is 1
LCM of denominators i.e. for 91,691 is 62881.
Thus, GCF of Fractions is 1/62881.Finally, GCF of Fractions for 628/91, 6291/691 is 1/62881.