GCF of 1989/317, 9542/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1989/317, 9542/525 i.e 13/166425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1989/317, 9542/525.
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 1989/317,9542/525?
Given fractions are 1989/317,9542/525
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 1989/317,9542/525, numerators are 1989,9542
Denominators are 317,525
The GCF of 1989,9542 is 13 .
LCM of 317,525 is 166425.
The greatest common factor of 1989/317,9542/525 = [GCF of 1989,9542]/[LCM of 317,525]= 13/166425
Therefore, the GCF of 1989/317,9542/525 is 13/166425.
To find the highest common factor of 1989,9542, we have to find the factors of both numbers and list the highest common factor.
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
The factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542
The HCF of 1989,9542 is 13.
Lets's calculate GCF of 1989,9542
| 13 | 1989, 9542 |
| 153, 734 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1989,9542 By Matching Biggest Common Factor Method
Now, list down the factors of 1989
:1,3,9,13,17,39,51,117,153,221,663,1989
Now, list down the factors of 9542
:1,2,13,26,367,734,4771,9542
Greatest Common Factor
We found the factors 1989,9542 . The biggest common factor number is the GCF number.
So the greatest common factor 1989,9542 is 13.
Lets's calculate LCM of 317,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 166425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/166425
Therefore, the GCF of Fractions 1989/317,9542/525 is 13/166425
Least Common Multiple of 317,525 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 317,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,525) x common factors =1 x 1 = 1
LCM(317,525) = ( 317 × 525 ) / 1
LCM(317,525) = 166425 / 1
LCM(317,525) = 166425
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FAQs on GCF of Fractions of 1989/317, 9542/525
1. What is the HCF of 1989,9542?
The HCF of 1989,9542 is 13
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 1989/317, 9542/525?
Answer: GCF of Numerators as per given numbers 1989/317, 9542/525 is
GCF of Numerators i.e. for 1989,9542 is 13
LCM of denominators i.e. for 317,525 is 166425.
Thus, GCF of Fractions is 13/166425.Finally, GCF of Fractions for 1989/317, 9542/525 is 13/166425.