GCF of 2992/566, 5589/9747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2992/566, 5589/9747 i.e 1/5516802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2992/566, 5589/9747.
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 2992/566,5589/9747?
Given fractions are 2992/566,5589/9747
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 2992/566,5589/9747, numerators are 2992,5589
Denominators are 566,9747
The GCF of 2992,5589 is 1 .
LCM of 566,9747 is 5516802.
The greatest common factor of 2992/566,5589/9747 = [GCF of 2992,5589]/[LCM of 566,9747]= 1/5516802
Therefore, the GCF of 2992/566,5589/9747 is 1/5516802.
To find the highest common factor of 2992,5589, we have to find the factors of both numbers and list the highest common factor.
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992
The factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589
The HCF of 2992,5589 is 1.
Lets's calculate GCF of 2992,5589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2992,5589 By Matching Biggest Common Factor Method
Now, list down the factors of 2992
:1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Now, list down the factors of 5589
:1,3,9,23,27,69,81,207,243,621,1863,5589
Greatest Common Factor
We found the factors 2992,5589 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,5589 is 1.
Lets's calculate LCM of 566,9747
Given numbers has no common factors except 1. So, there LCM is their product i.e 5516802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5516802
Therefore, the GCF of Fractions 2992/566,5589/9747 is 1/5516802
Least Common Multiple of 566,9747 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 566,9747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,9747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,9747) x common factors =1 x 1 = 1
LCM(566,9747) = ( 566 × 9747 ) / 1
LCM(566,9747) = 5516802 / 1
LCM(566,9747) = 5516802
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FAQs on GCF of Fractions of 2992/566, 5589/9747
1. What is the HCF of 2992,5589?
The HCF of 2992,5589 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 2992/566, 5589/9747?
Answer: GCF of Numerators as per given numbers 2992/566, 5589/9747 is
GCF of Numerators i.e. for 2992,5589 is 1
LCM of denominators i.e. for 566,9747 is 5516802.
Thus, GCF of Fractions is 1/5516802.Finally, GCF of Fractions for 2992/566, 5589/9747 is 1/5516802.