Online GCD Calculator is useful to find the GCD of 105, 222, 156, 700 quickly. Get the easiest ways to solve the greatest common divisor of 105, 222, 156, 700 i.e 1 in different methods as follows.
Given Input numbers are 105, 222, 156, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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
GCD of numbers is the greatest common divisor
So, the GCD (105, 222, 156, 700) = 1.
Given numbers are 105, 222, 156, 700
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 222 are 2 x 3 x 37
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 222, 156, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 222) = 7770
GCD(105, 222) = ( 105 x 222 ) / 7770
= 105 / 222
= 105
Step2:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
Step3:
LCM(3, 700) = 2100
GCD(3, 700) = ( 3 x 700 ) / 2100
= 3 / 700
= 3
So, Greatest Common Divisor of 105, 222, 156, 700 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 222, 156, 700
The greatest common divisor of numbers 105, 222, 156, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 222, 156, 700 is 1.
1. What is the GCD of 105, 222, 156, 700?
GCD of given numbers 105, 222, 156, 700 is 1
2. How to calculate the greatest common divisor of 105, 222, 156, 700?
We can find the highest common divisor of 105, 222, 156, 700 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 105, 222, 156, 700 i.e 1.
3. How can I use the GCD of 105, 222, 156, 700Calculator?
Out the numbers 105, 222, 156, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.