Online GCD Calculator is useful to find the GCD of 345, 750, 902, 970 quickly. Get the easiest ways to solve the greatest common divisor of 345, 750, 902, 970 i.e 1 in different methods as follows.
Given Input numbers are 345, 750, 902, 970
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (345, 750, 902, 970) = 1.
Given numbers are 345, 750, 902, 970
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 902 are 2 x 11 x 41
Prime factors of 970 are 2 x 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 750, 902, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 750) = 17250
GCD(345, 750) = ( 345 x 750 ) / 17250
= 345 / 750
= 345
Step2:
LCM(15, 902) = 13530
GCD(15, 902) = ( 15 x 902 ) / 13530
= 15 / 902
= 15
Step3:
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
= 1 / 970
= 1
So, Greatest Common Divisor of 345, 750, 902, 970 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 750, 902, 970
The greatest common divisor of numbers 345, 750, 902, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 750, 902, 970 is 1.
1. What is the GCD of 345, 750, 902, 970?
GCD of given numbers 345, 750, 902, 970 is 1
2. How to calculate the greatest common divisor of 345, 750, 902, 970?
We can find the highest common divisor of 345, 750, 902, 970 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 345, 750, 902, 970 i.e 1.
3. How can I use the GCD of 345, 750, 902, 970Calculator?
Out the numbers 345, 750, 902, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.