Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6973/810,5508/647
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 6973,5508
Greatest Common Factor of Numerators i.e. GCF of 6973,5508 is 1 .
LCM of Denominators means LCM of 810,647 as per the given fractions.
LCM of 810,647 is 524070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6973,5508
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6973
List of positive integer factors of 6973 that divides 6973 without a remainder.
1,19,367,6973
Factors of 5508
List of positive integer factors of 5508 that divides 5508 without a remainder.
1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Greatest Common Factor
We found the factors 6973,5508 . The biggest common factor number is the GCF number.
So the greatest common factor 6973,5508 is 1.
Lets's calculate LCM of 810,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 524070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524070
Therefore, the GCF of Fractions 6973/810,5508/647 is 1/524070
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 810,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,647) x common factors =1 x 1 = 1
LCM(810,647) = ( 810 × 647 ) / 1
LCM(810,647) = 524070 / 1
LCM(810,647) = 524070
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 6973/810, 5508/647?
Answer: GCF of Numerators as per given numbers 6973/810, 5508/647 is
GCF of Numerators i.e. for 6973,5508 is 1
LCM of denominators i.e. for 810,647 is 524070.
Thus, GCF of Fractions is 1/524070.Finally, GCF of Fractions for 6973/810, 5508/647 is 1/524070.