Online GCD Calculator is useful to find the GCD of 340, 172, 628 quickly. Get the easiest ways to solve the greatest common divisor of 340, 172, 628 i.e 4 in different methods as follows.
Given Input numbers are 340, 172, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (340, 172, 628) = 4.
Given numbers are 340, 172, 628
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 172 are 2 x 2 x 43
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 22
Therefore, GCD of 340, 172, 628 is 4.
Given numbers are 340, 172, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 172) = 14620
GCD(340, 172) = ( 340 x 172 ) / 14620
= 340 / 172
= 340
Step2:
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
= 4 / 628
= 4
So, Greatest Common Divisor of 340, 172, 628 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 172, 628
The greatest common divisor of numbers 340, 172, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 172, 628 is 4.
1. What is the GCD of 340, 172, 628?
GCD of given numbers 340, 172, 628 is 4
2. How to calculate the greatest common divisor of 340, 172, 628?
We can find the highest common divisor of 340, 172, 628 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 340, 172, 628 i.e 4.
3. How can I use the GCD of 340, 172, 628Calculator?
Out the numbers 340, 172, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.