GCF of 610/71, 401/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 610/71, 401/620 i.e 1/44020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/71, 401/620.
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 610/71,401/620?
Given fractions are 610/71,401/620
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 610/71,401/620, numerators are 610,401
Denominators are 71,620
The GCF of 610,401 is 1 .
LCM of 71,620 is 44020.
The greatest common factor of 610/71,401/620 = [GCF of 610,401]/[LCM of 71,620]= 1/44020
Therefore, the GCF of 610/71,401/620 is 1/44020.
To find the highest common factor of 610,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The factors of 401 are 1, 401
The HCF of 610,401 is 1.
Lets's calculate GCF of 610,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 610,401 By Matching Biggest Common Factor Method
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 610,401 . The biggest common factor number is the GCF number.
So the greatest common factor 610,401 is 1.
Lets's calculate LCM of 71,620
Given numbers has no common factors except 1. So, there LCM is their product i.e 44020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44020
Therefore, the GCF of Fractions 610/71,401/620 is 1/44020
Least Common Multiple of 71,620 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 71,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,620) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,620) x common factors =1 x 1 = 1
LCM(71,620) = ( 71 × 620 ) / 1
LCM(71,620) = 44020 / 1
LCM(71,620) = 44020
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FAQs on GCF of Fractions of 610/71, 401/620
1. What is the HCF of 610,401?
The HCF of 610,401 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 610/71, 401/620?
Answer: GCF of Numerators as per given numbers 610/71, 401/620 is
GCF of Numerators i.e. for 610,401 is 1
LCM of denominators i.e. for 71,620 is 44020.
Thus, GCF of Fractions is 1/44020.Finally, GCF of Fractions for 610/71, 401/620 is 1/44020.