Use our free GCF of Fractions Calculator tool to compute the GCF of 29/597, 456/307, 370/629 i.e 1/115282491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/597, 456/307, 370/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/597,456/307,370/629
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 29/597,456/307,370/629, numerators are 29,456,370
Denominators are 597,307,629
The GCF of 29,456,370 is 1 .
LCM of 597,307,629 is 115282491.
The greatest common factor of 29/597,456/307,370/629 = [GCF of 29,456,370]/[LCM of 597,307,629]= 1/115282491
Therefore, the GCF of 29/597,456/307,370/629 is 1/115282491.
To find the highest common factor of 29,456,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 29,456,370 is 1.
Lets's calculate GCF of 29,456,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 29,456,370 . The biggest common factor number is the GCF number.
So the greatest common factor 29,456,370 is 1.
Lets's calculate LCM of 597,307,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 115282491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115282491
Therefore, the GCF of Fractions 29/597,456/307,370/629 is 1/115282491
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 597,307,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,307,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,307,629) x common factors =1 x 1 = 1
LCM(597,307,629) = ( 597 × 307 × 629 ) / 1
LCM(597,307,629) = 115282491 / 1
LCM(597,307,629) = 115282491
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,456,370?
The HCF of 29,456,370 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 29/597, 456/307, 370/629?
Answer: GCF of Numerators as per given numbers 29/597, 456/307, 370/629 is
GCF of Numerators i.e. for 29,456,370 is 1
LCM of denominators i.e. for 597,307,629 is 115282491.
Thus, GCF of Fractions is 1/115282491.Finally, GCF of Fractions for 29/597, 456/307, 370/629 is 1/115282491.