GCF of 2063/501, 8722/3513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2063/501, 8722/3513 i.e 1/586671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2063/501, 8722/3513.
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 2063/501,8722/3513?
Given fractions are 2063/501,8722/3513
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 2063/501,8722/3513, numerators are 2063,8722
Denominators are 501,3513
The GCF of 2063,8722 is 1 .
LCM of 501,3513 is 586671.
The greatest common factor of 2063/501,8722/3513 = [GCF of 2063,8722]/[LCM of 501,3513]= 1/586671
Therefore, the GCF of 2063/501,8722/3513 is 1/586671.
To find the highest common factor of 2063,8722, we have to find the factors of both numbers and list the highest common factor.
The factors of 2063 are 1, 2063
The factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722
The HCF of 2063,8722 is 1.
Lets's calculate GCF of 2063,8722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2063,8722 By Matching Biggest Common Factor Method
Now, list down the factors of 2063
:1,2063
Now, list down the factors of 8722
:1,2,7,14,49,89,98,178,623,1246,4361,8722
Greatest Common Factor
We found the factors 2063,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 2063,8722 is 1.
Lets's calculate LCM of 501,3513
| 3 | 501, 3513 |
| 167, 1171 |
∴ So the LCM of the given numbers is 3 x 167 x 1171 = 586671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586671
Therefore, the GCF of Fractions 2063/501,8722/3513 is 1/586671
Least Common Multiple of 501,3513 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 501,3513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3513) x common factors =3 x 1 = 3
LCM(501,3513) = ( 501 × 3513 ) / 3
LCM(501,3513) = 1760013 / 3
LCM(501,3513) = 586671
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FAQs on GCF of Fractions of 2063/501, 8722/3513
1. What is the HCF of 2063,8722?
The HCF of 2063,8722 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 2063/501, 8722/3513?
Answer: GCF of Numerators as per given numbers 2063/501, 8722/3513 is
GCF of Numerators i.e. for 2063,8722 is 1
LCM of denominators i.e. for 501,3513 is 586671.
Thus, GCF of Fractions is 1/586671.Finally, GCF of Fractions for 2063/501, 8722/3513 is 1/586671.