GCF of 1771/142, 1647/6373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1771/142, 1647/6373 i.e 1/904966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1771/142, 1647/6373.
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 1771/142,1647/6373?
Given fractions are 1771/142,1647/6373
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 1771/142,1647/6373, numerators are 1771,1647
Denominators are 142,6373
The GCF of 1771,1647 is 1 .
LCM of 142,6373 is 904966.
The greatest common factor of 1771/142,1647/6373 = [GCF of 1771,1647]/[LCM of 142,6373]= 1/904966
Therefore, the GCF of 1771/142,1647/6373 is 1/904966.
To find the highest common factor of 1771,1647, we have to find the factors of both numbers and list the highest common factor.
The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771
The factors of 1647 are 1, 3, 9, 27, 61, 183, 549, 1647
The HCF of 1771,1647 is 1.
Lets's calculate GCF of 1771,1647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1771,1647 By Matching Biggest Common Factor Method
Now, list down the factors of 1771
:1,7,11,23,77,161,253,1771
Now, list down the factors of 1647
:1,3,9,27,61,183,549,1647
Greatest Common Factor
We found the factors 1771,1647 . The biggest common factor number is the GCF number.
So the greatest common factor 1771,1647 is 1.
Lets's calculate LCM of 142,6373
Given numbers has no common factors except 1. So, there LCM is their product i.e 904966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/904966
Therefore, the GCF of Fractions 1771/142,1647/6373 is 1/904966
Least Common Multiple of 142,6373 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 142,6373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,6373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,6373) x common factors =1 x 1 = 1
LCM(142,6373) = ( 142 × 6373 ) / 1
LCM(142,6373) = 904966 / 1
LCM(142,6373) = 904966
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FAQs on GCF of Fractions of 1771/142, 1647/6373
1. What is the HCF of 1771,1647?
The HCF of 1771,1647 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 1771/142, 1647/6373?
Answer: GCF of Numerators as per given numbers 1771/142, 1647/6373 is
GCF of Numerators i.e. for 1771,1647 is 1
LCM of denominators i.e. for 142,6373 is 904966.
Thus, GCF of Fractions is 1/904966.Finally, GCF of Fractions for 1771/142, 1647/6373 is 1/904966.