GCF of 1056/971, 1673/3337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1056/971, 1673/3337 i.e 1/3240227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1056/971, 1673/3337.
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 1056/971,1673/3337?
Given fractions are 1056/971,1673/3337
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 1056/971,1673/3337, numerators are 1056,1673
Denominators are 971,3337
The GCF of 1056,1673 is 1 .
LCM of 971,3337 is 3240227.
The greatest common factor of 1056/971,1673/3337 = [GCF of 1056,1673]/[LCM of 971,3337]= 1/3240227
Therefore, the GCF of 1056/971,1673/3337 is 1/3240227.
To find the highest common factor of 1056,1673, we have to find the factors of both numbers and list the highest common factor.
The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056
The factors of 1673 are 1, 7, 239, 1673
The HCF of 1056,1673 is 1.
Lets's calculate GCF of 1056,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1056,1673 By Matching Biggest Common Factor Method
Now, list down the factors of 1056
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056
Now, list down the factors of 1673
:1,7,239,1673
Greatest Common Factor
We found the factors 1056,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 1056,1673 is 1.
Lets's calculate LCM of 971,3337
Given numbers has no common factors except 1. So, there LCM is their product i.e 3240227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3240227
Therefore, the GCF of Fractions 1056/971,1673/3337 is 1/3240227
Least Common Multiple of 971,3337 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 971,3337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,3337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,3337) x common factors =1 x 1 = 1
LCM(971,3337) = ( 971 × 3337 ) / 1
LCM(971,3337) = 3240227 / 1
LCM(971,3337) = 3240227
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FAQs on GCF of Fractions of 1056/971, 1673/3337
1. What is the HCF of 1056,1673?
The HCF of 1056,1673 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 1056/971, 1673/3337?
Answer: GCF of Numerators as per given numbers 1056/971, 1673/3337 is
GCF of Numerators i.e. for 1056,1673 is 1
LCM of denominators i.e. for 971,3337 is 3240227.
Thus, GCF of Fractions is 1/3240227.Finally, GCF of Fractions for 1056/971, 1673/3337 is 1/3240227.