GCF of 492/109, 969/589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 492/109, 969/589 i.e 3/64201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/109, 969/589.
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 492/109,969/589?
Given fractions are 492/109,969/589
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 492/109,969/589, numerators are 492,969
Denominators are 109,589
The GCF of 492,969 is 3 .
LCM of 109,589 is 64201.
The greatest common factor of 492/109,969/589 = [GCF of 492,969]/[LCM of 109,589]= 3/64201
Therefore, the GCF of 492/109,969/589 is 3/64201.
To find the highest common factor of 492,969, we have to find the factors of both numbers and list the highest common factor.
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The HCF of 492,969 is 3.
Lets's calculate GCF of 492,969
| 3 | 492, 969 |
| 164, 323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 492,969 By Matching Biggest Common Factor Method
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 492,969 . The biggest common factor number is the GCF number.
So the greatest common factor 492,969 is 3.
Lets's calculate LCM of 109,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 64201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64201
Therefore, the GCF of Fractions 492/109,969/589 is 3/64201
Least Common Multiple of 109,589 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 109,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,589) x common factors =1 x 1 = 1
LCM(109,589) = ( 109 × 589 ) / 1
LCM(109,589) = 64201 / 1
LCM(109,589) = 64201
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FAQs on GCF of Fractions of 492/109, 969/589
1. What is the HCF of 492,969?
The HCF of 492,969 is 3
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 492/109, 969/589?
Answer: GCF of Numerators as per given numbers 492/109, 969/589 is
GCF of Numerators i.e. for 492,969 is 3
LCM of denominators i.e. for 109,589 is 64201.
Thus, GCF of Fractions is 3/64201.Finally, GCF of Fractions for 492/109, 969/589 is 3/64201.