Use our free GCF of Fractions Calculator tool to compute the GCF of 97/879, 831/284, 452/343 i.e 1/85625148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/879, 831/284, 452/343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/879,831/284,452/343
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 97/879,831/284,452/343, numerators are 97,831,452
Denominators are 879,284,343
The GCF of 97,831,452 is 1 .
LCM of 879,284,343 is 85625148.
The greatest common factor of 97/879,831/284,452/343 = [GCF of 97,831,452]/[LCM of 879,284,343]= 1/85625148
Therefore, the GCF of 97/879,831/284,452/343 is 1/85625148.
To find the highest common factor of 97,831,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 831 are 1, 3, 277, 831
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 97,831,452 is 1.
Lets's calculate GCF of 97,831,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 97,831,452 . The biggest common factor number is the GCF number.
So the greatest common factor 97,831,452 is 1.
Lets's calculate LCM of 879,284,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 85625148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85625148
Therefore, the GCF of Fractions 97/879,831/284,452/343 is 1/85625148
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 879,284,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,284,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,284,343) x common factors =1 x 1 = 1
LCM(879,284,343) = ( 879 × 284 × 343 ) / 1
LCM(879,284,343) = 85625148 / 1
LCM(879,284,343) = 85625148
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,831,452?
The HCF of 97,831,452 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 97/879, 831/284, 452/343?
Answer: GCF of Numerators as per given numbers 97/879, 831/284, 452/343 is
GCF of Numerators i.e. for 97,831,452 is 1
LCM of denominators i.e. for 879,284,343 is 85625148.
Thus, GCF of Fractions is 1/85625148.Finally, GCF of Fractions for 97/879, 831/284, 452/343 is 1/85625148.