GCF of 9714/567, 1459/2791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9714/567, 1459/2791 i.e 1/1582497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9714/567, 1459/2791.
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 9714/567,1459/2791?
Given fractions are 9714/567,1459/2791
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 9714/567,1459/2791, numerators are 9714,1459
Denominators are 567,2791
The GCF of 9714,1459 is 1 .
LCM of 567,2791 is 1582497.
The greatest common factor of 9714/567,1459/2791 = [GCF of 9714,1459]/[LCM of 567,2791]= 1/1582497
Therefore, the GCF of 9714/567,1459/2791 is 1/1582497.
To find the highest common factor of 9714,1459, we have to find the factors of both numbers and list the highest common factor.
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The factors of 1459 are 1, 1459
The HCF of 9714,1459 is 1.
Lets's calculate GCF of 9714,1459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9714,1459 By Matching Biggest Common Factor Method
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Now, list down the factors of 1459
:1,1459
Greatest Common Factor
We found the factors 9714,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 9714,1459 is 1.
Lets's calculate LCM of 567,2791
Given numbers has no common factors except 1. So, there LCM is their product i.e 1582497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1582497
Therefore, the GCF of Fractions 9714/567,1459/2791 is 1/1582497
Least Common Multiple of 567,2791 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 567,2791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,2791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,2791) x common factors =1 x 1 = 1
LCM(567,2791) = ( 567 × 2791 ) / 1
LCM(567,2791) = 1582497 / 1
LCM(567,2791) = 1582497
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FAQs on GCF of Fractions of 9714/567, 1459/2791
1. What is the HCF of 9714,1459?
The HCF of 9714,1459 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 9714/567, 1459/2791?
Answer: GCF of Numerators as per given numbers 9714/567, 1459/2791 is
GCF of Numerators i.e. for 9714,1459 is 1
LCM of denominators i.e. for 567,2791 is 1582497.
Thus, GCF of Fractions is 1/1582497.Finally, GCF of Fractions for 9714/567, 1459/2791 is 1/1582497.