Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6772/92,1591/703
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 6772,1591
Greatest Common Factor of Numerators i.e. GCF of 6772,1591 is 1 .
LCM of Denominators means LCM of 92,703 as per the given fractions.
LCM of 92,703 is 64676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6772,1591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6772
List of positive integer factors of 6772 that divides 6772 without a remainder.
1,2,4,1693,3386,6772
Factors of 1591
List of positive integer factors of 1591 that divides 1591 without a remainder.
1,37,43,1591
Greatest Common Factor
We found the factors 6772,1591 . The biggest common factor number is the GCF number.
So the greatest common factor 6772,1591 is 1.
Lets's calculate LCM of 92,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 64676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64676
Therefore, the GCF of Fractions 6772/92,1591/703 is 1/64676
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 92,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,703) x common factors =1 x 1 = 1
LCM(92,703) = ( 92 × 703 ) / 1
LCM(92,703) = 64676 / 1
LCM(92,703) = 64676
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 6772/92, 1591/703?
Answer: GCF of Numerators as per given numbers 6772/92, 1591/703 is
GCF of Numerators i.e. for 6772,1591 is 1
LCM of denominators i.e. for 92,703 is 64676.
Thus, GCF of Fractions is 1/64676.Finally, GCF of Fractions for 6772/92, 1591/703 is 1/64676.