GCF of 9189/123, 5908/5687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9189/123, 5908/5687 i.e 1/699501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9189/123, 5908/5687.
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 9189/123,5908/5687?
Given fractions are 9189/123,5908/5687
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 9189/123,5908/5687, numerators are 9189,5908
Denominators are 123,5687
The GCF of 9189,5908 is 1 .
LCM of 123,5687 is 699501.
The greatest common factor of 9189/123,5908/5687 = [GCF of 9189,5908]/[LCM of 123,5687]= 1/699501
Therefore, the GCF of 9189/123,5908/5687 is 1/699501.
To find the highest common factor of 9189,5908, we have to find the factors of both numbers and list the highest common factor.
The factors of 9189 are 1, 3, 9, 1021, 3063, 9189
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The HCF of 9189,5908 is 1.
Lets's calculate GCF of 9189,5908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9189,5908 By Matching Biggest Common Factor Method
Now, list down the factors of 9189
:1,3,9,1021,3063,9189
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 9189,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 9189,5908 is 1.
Lets's calculate LCM of 123,5687
Given numbers has no common factors except 1. So, there LCM is their product i.e 699501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699501
Therefore, the GCF of Fractions 9189/123,5908/5687 is 1/699501
Least Common Multiple of 123,5687 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 123,5687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5687) x common factors =1 x 1 = 1
LCM(123,5687) = ( 123 × 5687 ) / 1
LCM(123,5687) = 699501 / 1
LCM(123,5687) = 699501
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FAQs on GCF of Fractions of 9189/123, 5908/5687
1. What is the HCF of 9189,5908?
The HCF of 9189,5908 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 9189/123, 5908/5687?
Answer: GCF of Numerators as per given numbers 9189/123, 5908/5687 is
GCF of Numerators i.e. for 9189,5908 is 1
LCM of denominators i.e. for 123,5687 is 699501.
Thus, GCF of Fractions is 1/699501.Finally, GCF of Fractions for 9189/123, 5908/5687 is 1/699501.