Use our free GCF of Fractions Calculator tool to compute the GCF of 17/59, 374/94, 765/954 i.e 17/2645442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/59, 374/94, 765/954.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/59,374/94,765/954
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 17/59,374/94,765/954, numerators are 17,374,765
Denominators are 59,94,954
The GCF of 17,374,765 is 17 .
LCM of 59,94,954 is 2645442.
The greatest common factor of 17/59,374/94,765/954 = [GCF of 17,374,765]/[LCM of 59,94,954]= 17/2645442
Therefore, the GCF of 17/59,374/94,765/954 is 17/2645442.
To find the highest common factor of 17,374,765, 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 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The HCF of 17,374,765 is 17.
Lets's calculate GCF of 17,374,765
17 | 17, 374, 765 |
1, 22, 45 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 17
:1,17
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 17,374,765 . The biggest common factor number is the GCF number.
So the greatest common factor 17,374,765 is 17.
Lets's calculate LCM of 59,94,954
2 | 59, 94, 954 |
59, 47, 477 |
∴ So the LCM of the given numbers is 2 x 59 x 47 x 477 = 2645442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2645442
Therefore, the GCF of Fractions 17/59,374/94,765/954 is 17/2645442
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 59,94,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,94,954) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,94,954) x common factors =1 x 2 = 2
LCM(59,94,954) = ( 59 × 94 × 954 ) / 2
LCM(59,94,954) = 5290884 / 2
LCM(59,94,954) = 2645442
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,374,765?
The HCF of 17,374,765 is 17
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 17/59, 374/94, 765/954?
Answer: GCF of Numerators as per given numbers 17/59, 374/94, 765/954 is
GCF of Numerators i.e. for 17,374,765 is 17
LCM of denominators i.e. for 59,94,954 is 2645442.
Thus, GCF of Fractions is 17/2645442.Finally, GCF of Fractions for 17/59, 374/94, 765/954 is 17/2645442.