Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6408/72,3067/883
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 6408,3067
Greatest Common Factor of Numerators i.e. GCF of 6408,3067 is 1 .
LCM of Denominators means LCM of 72,883 as per the given fractions.
LCM of 72,883 is 63576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6408,3067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6408
List of positive integer factors of 6408 that divides 6408 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408
Factors of 3067
List of positive integer factors of 3067 that divides 3067 without a remainder.
1,3067
Greatest Common Factor
We found the factors 6408,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 6408,3067 is 1.
Lets's calculate LCM of 72,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 63576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63576
Therefore, the GCF of Fractions 6408/72,3067/883 is 1/63576
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 72,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,883) x common factors =1 x 1 = 1
LCM(72,883) = ( 72 × 883 ) / 1
LCM(72,883) = 63576 / 1
LCM(72,883) = 63576
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 6408/72, 3067/883?
Answer: GCF of Numerators as per given numbers 6408/72, 3067/883 is
GCF of Numerators i.e. for 6408,3067 is 1
LCM of denominators i.e. for 72,883 is 63576.
Thus, GCF of Fractions is 1/63576.Finally, GCF of Fractions for 6408/72, 3067/883 is 1/63576.