Online GCD Calculator is useful to find the GCD of 700, 170, 622, 380 quickly. Get the easiest ways to solve the greatest common divisor of 700, 170, 622, 380 i.e 2 in different methods as follows.
Given Input numbers are 700, 170, 622, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (700, 170, 622, 380) = 2.
Given numbers are 700, 170, 622, 380
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 170 are 2 x 5 x 17
Prime factors of 622 are 2 x 311
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 700, 170, 622, 380 is 2.
Given numbers are 700, 170, 622, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 170) = 11900
GCD(700, 170) = ( 700 x 170 ) / 11900
= 700 / 170
= 700
Step2:
LCM(10, 622) = 3110
GCD(10, 622) = ( 10 x 622 ) / 3110
= 10 / 622
= 10
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 700, 170, 622, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 170, 622, 380
The greatest common divisor of numbers 700, 170, 622, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 170, 622, 380 is 2.
1. What is the GCD of 700, 170, 622, 380?
GCD of given numbers 700, 170, 622, 380 is 2
2. How to calculate the greatest common divisor of 700, 170, 622, 380?
We can find the highest common divisor of 700, 170, 622, 380 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 700, 170, 622, 380 i.e 2.
3. How can I use the GCD of 700, 170, 622, 380Calculator?
Out the numbers 700, 170, 622, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.