GCF of 1517/394, 1374/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1517/394, 1374/758 i.e 1/149326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1517/394, 1374/758.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1517/394,1374/758?
Given fractions are 1517/394,1374/758
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 1517/394,1374/758, numerators are 1517,1374
Denominators are 394,758
The GCF of 1517,1374 is 1 .
LCM of 394,758 is 149326.
The greatest common factor of 1517/394,1374/758 = [GCF of 1517,1374]/[LCM of 394,758]= 1/149326
Therefore, the GCF of 1517/394,1374/758 is 1/149326.
To find the highest common factor of 1517,1374, we have to find the factors of both numbers and list the highest common factor.
The factors of 1517 are 1, 37, 41, 1517
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The HCF of 1517,1374 is 1.
Lets's calculate GCF of 1517,1374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1517,1374 By Matching Biggest Common Factor Method
Now, list down the factors of 1517
:1,37,41,1517
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Greatest Common Factor
We found the factors 1517,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 1517,1374 is 1.
Lets's calculate LCM of 394,758
| 2 | 394, 758 |
| 197, 379 |
∴ So the LCM of the given numbers is 2 x 197 x 379 = 149326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149326
Therefore, the GCF of Fractions 1517/394,1374/758 is 1/149326
Least Common Multiple of 394,758 with GCF Formula
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 394,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,758) x common factors =2 x 1 = 2
LCM(394,758) = ( 394 × 758 ) / 2
LCM(394,758) = 298652 / 2
LCM(394,758) = 149326
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FAQs on GCF of Fractions of 1517/394, 1374/758
1. What is the HCF of 1517,1374?
The HCF of 1517,1374 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 1517/394, 1374/758?
Answer: GCF of Numerators as per given numbers 1517/394, 1374/758 is
GCF of Numerators i.e. for 1517,1374 is 1
LCM of denominators i.e. for 394,758 is 149326.
Thus, GCF of Fractions is 1/149326.Finally, GCF of Fractions for 1517/394, 1374/758 is 1/149326.