GCF of 1573/620, 1063/6341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1573/620, 1063/6341 i.e 1/3931420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1573/620, 1063/6341.
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 1573/620,1063/6341?
Given fractions are 1573/620,1063/6341
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 1573/620,1063/6341, numerators are 1573,1063
Denominators are 620,6341
The GCF of 1573,1063 is 1 .
LCM of 620,6341 is 3931420.
The greatest common factor of 1573/620,1063/6341 = [GCF of 1573,1063]/[LCM of 620,6341]= 1/3931420
Therefore, the GCF of 1573/620,1063/6341 is 1/3931420.
To find the highest common factor of 1573,1063, we have to find the factors of both numbers and list the highest common factor.
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The factors of 1063 are 1, 1063
The HCF of 1573,1063 is 1.
Lets's calculate GCF of 1573,1063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1573,1063 By Matching Biggest Common Factor Method
Now, list down the factors of 1573
:1,11,13,121,143,1573
Now, list down the factors of 1063
:1,1063
Greatest Common Factor
We found the factors 1573,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 1573,1063 is 1.
Lets's calculate LCM of 620,6341
Given numbers has no common factors except 1. So, there LCM is their product i.e 3931420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3931420
Therefore, the GCF of Fractions 1573/620,1063/6341 is 1/3931420
Least Common Multiple of 620,6341 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 620,6341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,6341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,6341) x common factors =1 x 1 = 1
LCM(620,6341) = ( 620 × 6341 ) / 1
LCM(620,6341) = 3931420 / 1
LCM(620,6341) = 3931420
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FAQs on GCF of Fractions of 1573/620, 1063/6341
1. What is the HCF of 1573,1063?
The HCF of 1573,1063 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 1573/620, 1063/6341?
Answer: GCF of Numerators as per given numbers 1573/620, 1063/6341 is
GCF of Numerators i.e. for 1573,1063 is 1
LCM of denominators i.e. for 620,6341 is 3931420.
Thus, GCF of Fractions is 1/3931420.Finally, GCF of Fractions for 1573/620, 1063/6341 is 1/3931420.