GCD of 370, 722, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 370, 722, 684 quickly. Get the easiest ways to solve the greatest common divisor of 370, 722, 684 i.e 2 in different methods as follows.
Given Input numbers are 370, 722, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (370, 722, 684) = 2.
Given numbers are 370, 722, 684
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 722 are 2 x 19 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 370, 722, 684 is 2.
Steps to Calculate GCD of 370, 722, 684 using LCM Formula
Given numbers are 370, 722, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 722) = 133570
GCD(370, 722) = ( 370 x 722 ) / 133570
= 370 / 722
= 370
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
So, Greatest Common Divisor of 370, 722, 684 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 370, 722, 684
Given numbers are 370, 722, 684
The greatest common divisor of numbers 370, 722, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 722, 684 is 2.
FAQs on GCD of 370, 722, 684 Calculator
1. What is the GCD of 370, 722, 684?
GCD of given numbers 370, 722, 684 is 2
2. How to calculate the greatest common divisor of 370, 722, 684?
We can find the highest common divisor of 370, 722, 684 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 370, 722, 684 i.e 2.
3. How can I use the GCD of 370, 722, 684Calculator?
Out the numbers 370, 722, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.