Online GCD Calculator is useful to find the GCD of 456, 129, 702, 154 quickly. Get the easiest ways to solve the greatest common divisor of 456, 129, 702, 154 i.e 1 in different methods as follows.
Given Input numbers are 456, 129, 702, 154
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
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 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (456, 129, 702, 154) = 1.
Given numbers are 456, 129, 702, 154
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 129 are 3 x 43
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 154 are 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 456, 129, 702, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 129) = 19608
GCD(456, 129) = ( 456 x 129 ) / 19608
= 456 / 129
= 456
Step2:
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
= 3 / 702
= 3
Step3:
LCM(3, 154) = 462
GCD(3, 154) = ( 3 x 154 ) / 462
= 3 / 154
= 3
So, Greatest Common Divisor of 456, 129, 702, 154 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 129, 702, 154
The greatest common divisor of numbers 456, 129, 702, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 129, 702, 154 is 1.
1. What is the GCD of 456, 129, 702, 154?
GCD of given numbers 456, 129, 702, 154 is 1
2. How to calculate the greatest common divisor of 456, 129, 702, 154?
We can find the highest common divisor of 456, 129, 702, 154 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 456, 129, 702, 154 i.e 1.
3. How can I use the GCD of 456, 129, 702, 154Calculator?
Out the numbers 456, 129, 702, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.