GCF of 717/457, 975/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 717/457, 975/375 i.e 3/171375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/457, 975/375.
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 717/457,975/375?
Given fractions are 717/457,975/375
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 717/457,975/375, numerators are 717,975
Denominators are 457,375
The GCF of 717,975 is 3 .
LCM of 457,375 is 171375.
The greatest common factor of 717/457,975/375 = [GCF of 717,975]/[LCM of 457,375]= 3/171375
Therefore, the GCF of 717/457,975/375 is 3/171375.
To find the highest common factor of 717,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 717 are 1, 3, 239, 717
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 717,975 is 3.
Lets's calculate GCF of 717,975
| 3 | 717, 975 |
| 239, 325 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 717,975 By Matching Biggest Common Factor Method
Now, list down the factors of 717
:1,3,239,717
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 717,975 . The biggest common factor number is the GCF number.
So the greatest common factor 717,975 is 3.
Lets's calculate LCM of 457,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 171375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/171375
Therefore, the GCF of Fractions 717/457,975/375 is 3/171375
Least Common Multiple of 457,375 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 457,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,375) x common factors =1 x 1 = 1
LCM(457,375) = ( 457 × 375 ) / 1
LCM(457,375) = 171375 / 1
LCM(457,375) = 171375
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FAQs on GCF of Fractions of 717/457, 975/375
1. What is the HCF of 717,975?
The HCF of 717,975 is 3
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 717/457, 975/375?
Answer: GCF of Numerators as per given numbers 717/457, 975/375 is
GCF of Numerators i.e. for 717,975 is 3
LCM of denominators i.e. for 457,375 is 171375.
Thus, GCF of Fractions is 3/171375.Finally, GCF of Fractions for 717/457, 975/375 is 3/171375.