GCF of 3063/716, 1673/6871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3063/716, 1673/6871 i.e 1/4919636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3063/716, 1673/6871.
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 3063/716,1673/6871?
Given fractions are 3063/716,1673/6871
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 3063/716,1673/6871, numerators are 3063,1673
Denominators are 716,6871
The GCF of 3063,1673 is 1 .
LCM of 716,6871 is 4919636.
The greatest common factor of 3063/716,1673/6871 = [GCF of 3063,1673]/[LCM of 716,6871]= 1/4919636
Therefore, the GCF of 3063/716,1673/6871 is 1/4919636.
To find the highest common factor of 3063,1673, we have to find the factors of both numbers and list the highest common factor.
The factors of 3063 are 1, 3, 1021, 3063
The factors of 1673 are 1, 7, 239, 1673
The HCF of 3063,1673 is 1.
Lets's calculate GCF of 3063,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3063,1673 By Matching Biggest Common Factor Method
Now, list down the factors of 3063
:1,3,1021,3063
Now, list down the factors of 1673
:1,7,239,1673
Greatest Common Factor
We found the factors 3063,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 3063,1673 is 1.
Lets's calculate LCM of 716,6871
Given numbers has no common factors except 1. So, there LCM is their product i.e 4919636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4919636
Therefore, the GCF of Fractions 3063/716,1673/6871 is 1/4919636
Least Common Multiple of 716,6871 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 716,6871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,6871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,6871) x common factors =1 x 1 = 1
LCM(716,6871) = ( 716 × 6871 ) / 1
LCM(716,6871) = 4919636 / 1
LCM(716,6871) = 4919636
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FAQs on GCF of Fractions of 3063/716, 1673/6871
1. What is the HCF of 3063,1673?
The HCF of 3063,1673 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 3063/716, 1673/6871?
Answer: GCF of Numerators as per given numbers 3063/716, 1673/6871 is
GCF of Numerators i.e. for 3063,1673 is 1
LCM of denominators i.e. for 716,6871 is 4919636.
Thus, GCF of Fractions is 1/4919636.Finally, GCF of Fractions for 3063/716, 1673/6871 is 1/4919636.