Online GCD Calculator is useful to find the GCD of 465, 948, 728, 702 quickly. Get the easiest ways to solve the greatest common divisor of 465, 948, 728, 702 i.e 1 in different methods as follows.
Given Input numbers are 465, 948, 728, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
GCD of numbers is the greatest common divisor
So, the GCD (465, 948, 728, 702) = 1.
Given numbers are 465, 948, 728, 702
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 948, 728, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 948) = 146940
GCD(465, 948) = ( 465 x 948 ) / 146940
= 465 / 948
= 465
Step2:
LCM(3, 728) = 2184
GCD(3, 728) = ( 3 x 728 ) / 2184
= 3 / 728
= 3
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 465, 948, 728, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 948, 728, 702
The greatest common divisor of numbers 465, 948, 728, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 948, 728, 702 is 1.
1. What is the GCD of 465, 948, 728, 702?
GCD of given numbers 465, 948, 728, 702 is 1
2. How to calculate the greatest common divisor of 465, 948, 728, 702?
We can find the highest common divisor of 465, 948, 728, 702 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 465, 948, 728, 702 i.e 1.
3. How can I use the GCD of 465, 948, 728, 702Calculator?
Out the numbers 465, 948, 728, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.