Use our free GCF of Fractions Calculator tool to compute the GCF of 97/89, 565/93, 534/477 i.e 1/1316043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/89, 565/93, 534/477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/89,565/93,534/477
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 97/89,565/93,534/477, numerators are 97,565,534
Denominators are 89,93,477
The GCF of 97,565,534 is 1 .
LCM of 89,93,477 is 1316043.
The greatest common factor of 97/89,565/93,534/477 = [GCF of 97,565,534]/[LCM of 89,93,477]= 1/1316043
Therefore, the GCF of 97/89,565/93,534/477 is 1/1316043.
To find the highest common factor of 97,565,534, 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 565 are 1, 5, 113, 565
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 97,565,534 is 1.
Lets's calculate GCF of 97,565,534
∴ 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 565
:1,5,113,565
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 97,565,534 . The biggest common factor number is the GCF number.
So the greatest common factor 97,565,534 is 1.
Lets's calculate LCM of 89,93,477
3 | 89, 93, 477 |
89, 31, 159 |
∴ So the LCM of the given numbers is 3 x 89 x 31 x 159 = 1316043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316043
Therefore, the GCF of Fractions 97/89,565/93,534/477 is 1/1316043
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 89,93,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,93,477) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(89,93,477) x common factors =1 x 3 = 3
LCM(89,93,477) = ( 89 × 93 × 477 ) / 3
LCM(89,93,477) = 3948129 / 3
LCM(89,93,477) = 1316043
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,565,534?
The HCF of 97,565,534 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 97/89, 565/93, 534/477?
Answer: GCF of Numerators as per given numbers 97/89, 565/93, 534/477 is
GCF of Numerators i.e. for 97,565,534 is 1
LCM of denominators i.e. for 89,93,477 is 1316043.
Thus, GCF of Fractions is 1/1316043.Finally, GCF of Fractions for 97/89, 565/93, 534/477 is 1/1316043.