Online GCD Calculator is useful to find the GCD of 870, 208, 371, 152 quickly. Get the easiest ways to solve the greatest common divisor of 870, 208, 371, 152 i.e 1 in different methods as follows.
Given Input numbers are 870, 208, 371, 152
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (870, 208, 371, 152) = 1.
Given numbers are 870, 208, 371, 152
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 371 are 7 x 53
Prime factors of 152 are 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 208, 371, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 208) = 90480
GCD(870, 208) = ( 870 x 208 ) / 90480
= 870 / 208
= 870
Step2:
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
= 2 / 371
= 2
Step3:
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
= 1 / 152
= 1
So, Greatest Common Divisor of 870, 208, 371, 152 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 208, 371, 152
The greatest common divisor of numbers 870, 208, 371, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 208, 371, 152 is 1.
1. What is the GCD of 870, 208, 371, 152?
GCD of given numbers 870, 208, 371, 152 is 1
2. How to calculate the greatest common divisor of 870, 208, 371, 152?
We can find the highest common divisor of 870, 208, 371, 152 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 870, 208, 371, 152 i.e 1.
3. How can I use the GCD of 870, 208, 371, 152Calculator?
Out the numbers 870, 208, 371, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.