GCF of 566/202, 2573/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 566/202, 2573/807 i.e 1/163014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/202, 2573/807.
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 566/202,2573/807?
Given fractions are 566/202,2573/807
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 566/202,2573/807, numerators are 566,2573
Denominators are 202,807
The GCF of 566,2573 is 1 .
LCM of 202,807 is 163014.
The greatest common factor of 566/202,2573/807 = [GCF of 566,2573]/[LCM of 202,807]= 1/163014
Therefore, the GCF of 566/202,2573/807 is 1/163014.
To find the highest common factor of 566,2573, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 2573 are 1, 31, 83, 2573
The HCF of 566,2573 is 1.
Lets's calculate GCF of 566,2573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 566,2573 By Matching Biggest Common Factor Method
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 2573
:1,31,83,2573
Greatest Common Factor
We found the factors 566,2573 . The biggest common factor number is the GCF number.
So the greatest common factor 566,2573 is 1.
Lets's calculate LCM of 202,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 163014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163014
Therefore, the GCF of Fractions 566/202,2573/807 is 1/163014
Least Common Multiple of 202,807 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 202,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,807) x common factors =1 x 1 = 1
LCM(202,807) = ( 202 × 807 ) / 1
LCM(202,807) = 163014 / 1
LCM(202,807) = 163014
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FAQs on GCF of Fractions of 566/202, 2573/807
1. What is the HCF of 566,2573?
The HCF of 566,2573 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 566/202, 2573/807?
Answer: GCF of Numerators as per given numbers 566/202, 2573/807 is
GCF of Numerators i.e. for 566,2573 is 1
LCM of denominators i.e. for 202,807 is 163014.
Thus, GCF of Fractions is 1/163014.Finally, GCF of Fractions for 566/202, 2573/807 is 1/163014.