Use our free GCF of Fractions Calculator tool to compute the GCF of 17/629, 901/975, 140/957 i.e 1/195634725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/629, 901/975, 140/957.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/629,901/975,140/957
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 17/629,901/975,140/957, numerators are 17,901,140
Denominators are 629,975,957
The GCF of 17,901,140 is 1 .
LCM of 629,975,957 is 195634725.
The greatest common factor of 17/629,901/975,140/957 = [GCF of 17,901,140]/[LCM of 629,975,957]= 1/195634725
Therefore, the GCF of 17/629,901/975,140/957 is 1/195634725.
To find the highest common factor of 17,901,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 901 are 1, 17, 53, 901
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 17,901,140 is 1.
Lets's calculate GCF of 17,901,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 17,901,140 . The biggest common factor number is the GCF number.
So the greatest common factor 17,901,140 is 1.
Lets's calculate LCM of 629,975,957
3 | 629, 975, 957 |
629, 325, 319 |
∴ So the LCM of the given numbers is 3 x 629 x 325 x 319 = 195634725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195634725
Therefore, the GCF of Fractions 17/629,901/975,140/957 is 1/195634725
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 629,975,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,975,957) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(629,975,957) x common factors =1 x 3 = 3
LCM(629,975,957) = ( 629 × 975 × 957 ) / 3
LCM(629,975,957) = 586904175 / 3
LCM(629,975,957) = 195634725
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,901,140?
The HCF of 17,901,140 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 17/629, 901/975, 140/957?
Answer: GCF of Numerators as per given numbers 17/629, 901/975, 140/957 is
GCF of Numerators i.e. for 17,901,140 is 1
LCM of denominators i.e. for 629,975,957 is 195634725.
Thus, GCF of Fractions is 1/195634725.Finally, GCF of Fractions for 17/629, 901/975, 140/957 is 1/195634725.