GCD of 371, 980, 588 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 371, 980, 588 quickly. Get the easiest ways to solve the greatest common divisor of 371, 980, 588 i.e 7 in different methods as follows.
Given Input numbers are 371, 980, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (371, 980, 588) = 7.
Given numbers are 371, 980, 588
The list of prime factors of all numbers are
Prime factors of 371 are 7 x 53
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 371, 980, 588 is 7.
Steps to Calculate GCD of 371, 980, 588 using LCM Formula
Given numbers are 371, 980, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(371, 980) = 51940
GCD(371, 980) = ( 371 x 980 ) / 51940
= 371 / 980
= 371
Step2:
LCM(7, 588) = 588
GCD(7, 588) = ( 7 x 588 ) / 588
= 7 / 588
= 7
So, Greatest Common Divisor of 371, 980, 588 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 371, 980, 588
Given numbers are 371, 980, 588
The greatest common divisor of numbers 371, 980, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 980, 588 is 7.
FAQs on GCD of 371, 980, 588 Calculator
1. What is the GCD of 371, 980, 588?
GCD of given numbers 371, 980, 588 is 7
2. How to calculate the greatest common divisor of 371, 980, 588?
We can find the highest common divisor of 371, 980, 588 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 371, 980, 588 i.e 7.
3. How can I use the GCD of 371, 980, 588Calculator?
Out the numbers 371, 980, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.