Use our free GCF of Fractions Calculator tool to compute the GCF of 30/69, 874/75, 545/671 i.e 1/1157475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/69, 874/75, 545/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/69,874/75,545/671
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 30/69,874/75,545/671, numerators are 30,874,545
Denominators are 69,75,671
The GCF of 30,874,545 is 1 .
LCM of 69,75,671 is 1157475.
The greatest common factor of 30/69,874/75,545/671 = [GCF of 30,874,545]/[LCM of 69,75,671]= 1/1157475
Therefore, the GCF of 30/69,874/75,545/671 is 1/1157475.
To find the highest common factor of 30,874,545, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 545 are 1, 5, 109, 545
The HCF of 30,874,545 is 1.
Lets's calculate GCF of 30,874,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 545
:1,5,109,545
Greatest Common Factor
We found the factors 30,874,545 . The biggest common factor number is the GCF number.
So the greatest common factor 30,874,545 is 1.
Lets's calculate LCM of 69,75,671
3 | 69, 75, 671 |
23, 25, 671 |
∴ So the LCM of the given numbers is 3 x 23 x 25 x 671 = 1157475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1157475
Therefore, the GCF of Fractions 30/69,874/75,545/671 is 1/1157475
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 69,75,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,75,671) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,75,671) x common factors =1 x 3 = 3
LCM(69,75,671) = ( 69 × 75 × 671 ) / 3
LCM(69,75,671) = 3472425 / 3
LCM(69,75,671) = 1157475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,874,545?
The HCF of 30,874,545 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 30/69, 874/75, 545/671?
Answer: GCF of Numerators as per given numbers 30/69, 874/75, 545/671 is
GCF of Numerators i.e. for 30,874,545 is 1
LCM of denominators i.e. for 69,75,671 is 1157475.
Thus, GCF of Fractions is 1/1157475.Finally, GCF of Fractions for 30/69, 874/75, 545/671 is 1/1157475.