Online GCD Calculator is useful to find the GCD of 702, 345, 748, 906 quickly. Get the easiest ways to solve the greatest common divisor of 702, 345, 748, 906 i.e 1 in different methods as follows.
Given Input numbers are 702, 345, 748, 906
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (702, 345, 748, 906) = 1.
Given numbers are 702, 345, 748, 906
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 345 are 3 x 5 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 906 are 2 x 3 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 702, 345, 748, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 345) = 80730
GCD(702, 345) = ( 702 x 345 ) / 80730
= 702 / 345
= 702
Step2:
LCM(3, 748) = 2244
GCD(3, 748) = ( 3 x 748 ) / 2244
= 3 / 748
= 3
Step3:
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
= 1 / 906
= 1
So, Greatest Common Divisor of 702, 345, 748, 906 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 345, 748, 906
The greatest common divisor of numbers 702, 345, 748, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 345, 748, 906 is 1.
1. What is the GCD of 702, 345, 748, 906?
GCD of given numbers 702, 345, 748, 906 is 1
2. How to calculate the greatest common divisor of 702, 345, 748, 906?
We can find the highest common divisor of 702, 345, 748, 906 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 702, 345, 748, 906 i.e 1.
3. How can I use the GCD of 702, 345, 748, 906Calculator?
Out the numbers 702, 345, 748, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.