Online GCD Calculator is useful to find the GCD of 870, 349, 676, 745 quickly. Get the easiest ways to solve the greatest common divisor of 870, 349, 676, 745 i.e 1 in different methods as follows.
Given Input numbers are 870, 349, 676, 745
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 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (870, 349, 676, 745) = 1.
Given numbers are 870, 349, 676, 745
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 349 are 349
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 349, 676, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 349) = 303630
GCD(870, 349) = ( 870 x 349 ) / 303630
= 870 / 349
= 870
Step2:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 870, 349, 676, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 349, 676, 745
The greatest common divisor of numbers 870, 349, 676, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 349, 676, 745 is 1.
1. What is the GCD of 870, 349, 676, 745?
GCD of given numbers 870, 349, 676, 745 is 1
2. How to calculate the greatest common divisor of 870, 349, 676, 745?
We can find the highest common divisor of 870, 349, 676, 745 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, 349, 676, 745 i.e 1.
3. How can I use the GCD of 870, 349, 676, 745Calculator?
Out the numbers 870, 349, 676, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.