Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7889/569,7002/3319
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 7889,7002
Greatest Common Factor of Numerators i.e. GCF of 7889,7002 is 1 .
LCM of Denominators means LCM of 569,3319 as per the given fractions.
LCM of 569,3319 is 1888511 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7889,7002
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7889
List of positive integer factors of 7889 that divides 7889 without a remainder.
1,7,23,49,161,343,1127,7889
Factors of 7002
List of positive integer factors of 7002 that divides 7002 without a remainder.
1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 7889,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 7889,7002 is 1.
Lets's calculate LCM of 569,3319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1888511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1888511
Therefore, the GCF of Fractions 7889/569,7002/3319 is 1/1888511
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 569,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,3319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,3319) x common factors =1 x 1 = 1
LCM(569,3319) = ( 569 × 3319 ) / 1
LCM(569,3319) = 1888511 / 1
LCM(569,3319) = 1888511
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 7889/569, 7002/3319?
Answer: GCF of Numerators as per given numbers 7889/569, 7002/3319 is
GCF of Numerators i.e. for 7889,7002 is 1
LCM of denominators i.e. for 569,3319 is 1888511.
Thus, GCF of Fractions is 1/1888511.Finally, GCF of Fractions for 7889/569, 7002/3319 is 1/1888511.