GCF of 637/566, 1035/5843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/566, 1035/5843 i.e 1/3307138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/566, 1035/5843.
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 637/566,1035/5843?
Given fractions are 637/566,1035/5843
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 637/566,1035/5843, numerators are 637,1035
Denominators are 566,5843
The GCF of 637,1035 is 1 .
LCM of 566,5843 is 3307138.
The greatest common factor of 637/566,1035/5843 = [GCF of 637,1035]/[LCM of 566,5843]= 1/3307138
Therefore, the GCF of 637/566,1035/5843 is 1/3307138.
To find the highest common factor of 637,1035, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
The HCF of 637,1035 is 1.
Lets's calculate GCF of 637,1035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 637,1035 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 1035
:1,3,5,9,15,23,45,69,115,207,345,1035
Greatest Common Factor
We found the factors 637,1035 . The biggest common factor number is the GCF number.
So the greatest common factor 637,1035 is 1.
Lets's calculate LCM of 566,5843
Given numbers has no common factors except 1. So, there LCM is their product i.e 3307138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3307138
Therefore, the GCF of Fractions 637/566,1035/5843 is 1/3307138
Least Common Multiple of 566,5843 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 566,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,5843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,5843) x common factors =1 x 1 = 1
LCM(566,5843) = ( 566 × 5843 ) / 1
LCM(566,5843) = 3307138 / 1
LCM(566,5843) = 3307138
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FAQs on GCF of Fractions of 637/566, 1035/5843
1. What is the HCF of 637,1035?
The HCF of 637,1035 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 637/566, 1035/5843?
Answer: GCF of Numerators as per given numbers 637/566, 1035/5843 is
GCF of Numerators i.e. for 637,1035 is 1
LCM of denominators i.e. for 566,5843 is 3307138.
Thus, GCF of Fractions is 1/3307138.Finally, GCF of Fractions for 637/566, 1035/5843 is 1/3307138.