GCF of 501/21, 706/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/21, 706/817 i.e 1/17157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/21, 706/817.
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 501/21,706/817?
Given fractions are 501/21,706/817
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 501/21,706/817, numerators are 501,706
Denominators are 21,817
The GCF of 501,706 is 1 .
LCM of 21,817 is 17157.
The greatest common factor of 501/21,706/817 = [GCF of 501,706]/[LCM of 21,817]= 1/17157
Therefore, the GCF of 501/21,706/817 is 1/17157.
To find the highest common factor of 501,706, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 706 are 1, 2, 353, 706
The HCF of 501,706 is 1.
Lets's calculate GCF of 501,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 501,706 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 706
:1,2,353,706
Greatest Common Factor
We found the factors 501,706 . The biggest common factor number is the GCF number.
So the greatest common factor 501,706 is 1.
Lets's calculate LCM of 21,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 17157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17157
Therefore, the GCF of Fractions 501/21,706/817 is 1/17157
Least Common Multiple of 21,817 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 21,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,817) x common factors =1 x 1 = 1
LCM(21,817) = ( 21 × 817 ) / 1
LCM(21,817) = 17157 / 1
LCM(21,817) = 17157
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 501/21, 706/817
1. What is the HCF of 501,706?
The HCF of 501,706 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 501/21, 706/817?
Answer: GCF of Numerators as per given numbers 501/21, 706/817 is
GCF of Numerators i.e. for 501,706 is 1
LCM of denominators i.e. for 21,817 is 17157.
Thus, GCF of Fractions is 1/17157.Finally, GCF of Fractions for 501/21, 706/817 is 1/17157.