GCF of 3162/588, 8971/2549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3162/588, 8971/2549 i.e 1/1498812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3162/588, 8971/2549.
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 3162/588,8971/2549?
Given fractions are 3162/588,8971/2549
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 3162/588,8971/2549, numerators are 3162,8971
Denominators are 588,2549
The GCF of 3162,8971 is 1 .
LCM of 588,2549 is 1498812.
The greatest common factor of 3162/588,8971/2549 = [GCF of 3162,8971]/[LCM of 588,2549]= 1/1498812
Therefore, the GCF of 3162/588,8971/2549 is 1/1498812.
To find the highest common factor of 3162,8971, we have to find the factors of both numbers and list the highest common factor.
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The factors of 8971 are 1, 8971
The HCF of 3162,8971 is 1.
Lets's calculate GCF of 3162,8971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3162,8971 By Matching Biggest Common Factor Method
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Now, list down the factors of 8971
:1,8971
Greatest Common Factor
We found the factors 3162,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 3162,8971 is 1.
Lets's calculate LCM of 588,2549
Given numbers has no common factors except 1. So, there LCM is their product i.e 1498812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1498812
Therefore, the GCF of Fractions 3162/588,8971/2549 is 1/1498812
Least Common Multiple of 588,2549 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 588,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,2549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,2549) x common factors =1 x 1 = 1
LCM(588,2549) = ( 588 × 2549 ) / 1
LCM(588,2549) = 1498812 / 1
LCM(588,2549) = 1498812
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FAQs on GCF of Fractions of 3162/588, 8971/2549
1. What is the HCF of 3162,8971?
The HCF of 3162,8971 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 3162/588, 8971/2549?
Answer: GCF of Numerators as per given numbers 3162/588, 8971/2549 is
GCF of Numerators i.e. for 3162,8971 is 1
LCM of denominators i.e. for 588,2549 is 1498812.
Thus, GCF of Fractions is 1/1498812.Finally, GCF of Fractions for 3162/588, 8971/2549 is 1/1498812.