GCF of 945/17, 975/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 945/17, 975/909 i.e 15/15453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/17, 975/909.
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 945/17,975/909?
Given fractions are 945/17,975/909
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 945/17,975/909, numerators are 945,975
Denominators are 17,909
The GCF of 945,975 is 15 .
LCM of 17,909 is 15453.
The greatest common factor of 945/17,975/909 = [GCF of 945,975]/[LCM of 17,909]= 15/15453
Therefore, the GCF of 945/17,975/909 is 15/15453.
To find the highest common factor of 945,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 945,975 is 15.
Lets's calculate GCF of 945,975
| 3 | 945, 975 |
| 5 | 315, 325 |
| 63, 65 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 945,975 By Matching Biggest Common Factor Method
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
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 945,975 . The biggest common factor number is the GCF number.
So the greatest common factor 945,975 is 15.
Lets's calculate LCM of 17,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 15453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/15453
Therefore, the GCF of Fractions 945/17,975/909 is 15/15453
Least Common Multiple of 17,909 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 17,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,909) x common factors =1 x 1 = 1
LCM(17,909) = ( 17 × 909 ) / 1
LCM(17,909) = 15453 / 1
LCM(17,909) = 15453
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FAQs on GCF of Fractions of 945/17, 975/909
1. What is the HCF of 945,975?
The HCF of 945,975 is 15
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 945/17, 975/909?
Answer: GCF of Numerators as per given numbers 945/17, 975/909 is
GCF of Numerators i.e. for 945,975 is 15
LCM of denominators i.e. for 17,909 is 15453.
Thus, GCF of Fractions is 15/15453.Finally, GCF of Fractions for 945/17, 975/909 is 15/15453.