Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/173,971/725,973/859
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 551,971,973
Greatest Common Factor of Numerators i.e. GCF of 551,971,973 is 1 .
LCM of Denominators means LCM of 173,725,859 as per the given fractions.
LCM of 173,725,859 is 107740075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 551,971,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 551,971,973 . The biggest common factor number is the GCF number.
So the greatest common factor 551,971,973 is 1.
Lets's calculate LCM of 173,725,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 107740075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107740075
Therefore, the GCF of Fractions 551/173,971/725,973/859 is 1/107740075
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 173,725,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,725,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,725,859) x common factors =1 x 1 = 1
LCM(173,725,859) = ( 173 × 725 × 859 ) / 1
LCM(173,725,859) = 107740075 / 1
LCM(173,725,859) = 107740075
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 551/173, 971/725, 973/859?
Answer: GCF of Numerators as per given numbers 551/173, 971/725, 973/859 is
GCF of Numerators i.e. for 551,971,973 is 1
LCM of denominators i.e. for 173,725,859 is 107740075.
Thus, GCF of Fractions is 1/107740075.Finally, GCF of Fractions for 551/173, 971/725, 973/859 is 1/107740075.