GCF of 317/120, 617/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 317/120, 617/575 i.e 1/13800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 317/120, 617/575.
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 317/120,617/575?
Given fractions are 317/120,617/575
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 317/120,617/575, numerators are 317,617
Denominators are 120,575
The GCF of 317,617 is 1 .
LCM of 120,575 is 13800.
The greatest common factor of 317/120,617/575 = [GCF of 317,617]/[LCM of 120,575]= 1/13800
Therefore, the GCF of 317/120,617/575 is 1/13800.
To find the highest common factor of 317,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 317 are 1, 317
The factors of 617 are 1, 617
The HCF of 317,617 is 1.
Lets's calculate GCF of 317,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 317,617 By Matching Biggest Common Factor Method
Now, list down the factors of 317
:1,317
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 317,617 . The biggest common factor number is the GCF number.
So the greatest common factor 317,617 is 1.
Lets's calculate LCM of 120,575
| 5 | 120, 575 |
| 24, 115 |
∴ So the LCM of the given numbers is 5 x 24 x 115 = 13800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13800
Therefore, the GCF of Fractions 317/120,617/575 is 1/13800
Least Common Multiple of 120,575 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 120,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(120,575) x common factors =5 x 1 = 5
LCM(120,575) = ( 120 × 575 ) / 5
LCM(120,575) = 69000 / 5
LCM(120,575) = 13800
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 317/120, 617/575
1. What is the HCF of 317,617?
The HCF of 317,617 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 317/120, 617/575?
Answer: GCF of Numerators as per given numbers 317/120, 617/575 is
GCF of Numerators i.e. for 317,617 is 1
LCM of denominators i.e. for 120,575 is 13800.
Thus, GCF of Fractions is 1/13800.Finally, GCF of Fractions for 317/120, 617/575 is 1/13800.