GCF of 501/251, 7322/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/251, 7322/642 i.e 1/161142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/251, 7322/642.
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 501/251,7322/642?
Given fractions are 501/251,7322/642
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 501/251,7322/642, numerators are 501,7322
Denominators are 251,642
The GCF of 501,7322 is 1 .
LCM of 251,642 is 161142.
The greatest common factor of 501/251,7322/642 = [GCF of 501,7322]/[LCM of 251,642]= 1/161142
Therefore, the GCF of 501/251,7322/642 is 1/161142.
To find the highest common factor of 501,7322, 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 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The HCF of 501,7322 is 1.
Lets's calculate GCF of 501,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 501,7322 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 501,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 501,7322 is 1.
Lets's calculate LCM of 251,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 161142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161142
Therefore, the GCF of Fractions 501/251,7322/642 is 1/161142
Least Common Multiple of 251,642 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 251,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,642) x common factors =1 x 1 = 1
LCM(251,642) = ( 251 × 642 ) / 1
LCM(251,642) = 161142 / 1
LCM(251,642) = 161142
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FAQs on GCF of Fractions of 501/251, 7322/642
1. What is the HCF of 501,7322?
The HCF of 501,7322 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 501/251, 7322/642?
Answer: GCF of Numerators as per given numbers 501/251, 7322/642 is
GCF of Numerators i.e. for 501,7322 is 1
LCM of denominators i.e. for 251,642 is 161142.
Thus, GCF of Fractions is 1/161142.Finally, GCF of Fractions for 501/251, 7322/642 is 1/161142.