GCF of 9721/931, 1618/1737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9721/931, 1618/1737 i.e 1/1617147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9721/931, 1618/1737.
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 9721/931,1618/1737?
Given fractions are 9721/931,1618/1737
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 9721/931,1618/1737, numerators are 9721,1618
Denominators are 931,1737
The GCF of 9721,1618 is 1 .
LCM of 931,1737 is 1617147.
The greatest common factor of 9721/931,1618/1737 = [GCF of 9721,1618]/[LCM of 931,1737]= 1/1617147
Therefore, the GCF of 9721/931,1618/1737 is 1/1617147.
To find the highest common factor of 9721,1618, we have to find the factors of both numbers and list the highest common factor.
The factors of 9721 are 1, 9721
The factors of 1618 are 1, 2, 809, 1618
The HCF of 9721,1618 is 1.
Lets's calculate GCF of 9721,1618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9721,1618 By Matching Biggest Common Factor Method
Now, list down the factors of 9721
:1,9721
Now, list down the factors of 1618
:1,2,809,1618
Greatest Common Factor
We found the factors 9721,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 9721,1618 is 1.
Lets's calculate LCM of 931,1737
Given numbers has no common factors except 1. So, there LCM is their product i.e 1617147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1617147
Therefore, the GCF of Fractions 9721/931,1618/1737 is 1/1617147
Least Common Multiple of 931,1737 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 931,1737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,1737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,1737) x common factors =1 x 1 = 1
LCM(931,1737) = ( 931 × 1737 ) / 1
LCM(931,1737) = 1617147 / 1
LCM(931,1737) = 1617147
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FAQs on GCF of Fractions of 9721/931, 1618/1737
1. What is the HCF of 9721,1618?
The HCF of 9721,1618 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 9721/931, 1618/1737?
Answer: GCF of Numerators as per given numbers 9721/931, 1618/1737 is
GCF of Numerators i.e. for 9721,1618 is 1
LCM of denominators i.e. for 931,1737 is 1617147.
Thus, GCF of Fractions is 1/1617147.Finally, GCF of Fractions for 9721/931, 1618/1737 is 1/1617147.