Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6721/549,7320/164
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 6721,7320
Greatest Common Factor of Numerators i.e. GCF of 6721,7320 is 1 .
LCM of Denominators means LCM of 549,164 as per the given fractions.
LCM of 549,164 is 90036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6721,7320
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6721
List of positive integer factors of 6721 that divides 6721 without a remainder.
1,11,13,47,143,517,611,6721
Factors of 7320
List of positive integer factors of 7320 that divides 7320 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Greatest Common Factor
We found the factors 6721,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 6721,7320 is 1.
Lets's calculate LCM of 549,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 90036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90036
Therefore, the GCF of Fractions 6721/549,7320/164 is 1/90036
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 549,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,164) x common factors =1 x 1 = 1
LCM(549,164) = ( 549 × 164 ) / 1
LCM(549,164) = 90036 / 1
LCM(549,164) = 90036
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 6721/549, 7320/164?
Answer: GCF of Numerators as per given numbers 6721/549, 7320/164 is
GCF of Numerators i.e. for 6721,7320 is 1
LCM of denominators i.e. for 549,164 is 90036.
Thus, GCF of Fractions is 1/90036.Finally, GCF of Fractions for 6721/549, 7320/164 is 1/90036.