GCF of 9163/732, 9586/3787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9163/732, 9586/3787 i.e 1/2772084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9163/732, 9586/3787.
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 9163/732,9586/3787?
Given fractions are 9163/732,9586/3787
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 9163/732,9586/3787, numerators are 9163,9586
Denominators are 732,3787
The GCF of 9163,9586 is 1 .
LCM of 732,3787 is 2772084.
The greatest common factor of 9163/732,9586/3787 = [GCF of 9163,9586]/[LCM of 732,3787]= 1/2772084
Therefore, the GCF of 9163/732,9586/3787 is 1/2772084.
To find the highest common factor of 9163,9586, we have to find the factors of both numbers and list the highest common factor.
The factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
The factors of 9586 are 1, 2, 4793, 9586
The HCF of 9163,9586 is 1.
Lets's calculate GCF of 9163,9586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9163,9586 By Matching Biggest Common Factor Method
Now, list down the factors of 9163
:1,7,11,17,49,77,119,187,539,833,1309,9163
Now, list down the factors of 9586
:1,2,4793,9586
Greatest Common Factor
We found the factors 9163,9586 . The biggest common factor number is the GCF number.
So the greatest common factor 9163,9586 is 1.
Lets's calculate LCM of 732,3787
Given numbers has no common factors except 1. So, there LCM is their product i.e 2772084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772084
Therefore, the GCF of Fractions 9163/732,9586/3787 is 1/2772084
Least Common Multiple of 732,3787 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 732,3787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,3787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,3787) x common factors =1 x 1 = 1
LCM(732,3787) = ( 732 × 3787 ) / 1
LCM(732,3787) = 2772084 / 1
LCM(732,3787) = 2772084
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FAQs on GCF of Fractions of 9163/732, 9586/3787
1. What is the HCF of 9163,9586?
The HCF of 9163,9586 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 9163/732, 9586/3787?
Answer: GCF of Numerators as per given numbers 9163/732, 9586/3787 is
GCF of Numerators i.e. for 9163,9586 is 1
LCM of denominators i.e. for 732,3787 is 2772084.
Thus, GCF of Fractions is 1/2772084.Finally, GCF of Fractions for 9163/732, 9586/3787 is 1/2772084.