Online GCD Calculator is useful to find the GCD of 152, 126, 735, 213 quickly. Get the easiest ways to solve the greatest common divisor of 152, 126, 735, 213 i.e 1 in different methods as follows.
Given Input numbers are 152, 126, 735, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (152, 126, 735, 213) = 1.
Given numbers are 152, 126, 735, 213
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 152, 126, 735, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 126) = 9576
GCD(152, 126) = ( 152 x 126 ) / 9576
= 152 / 126
= 152
Step2:
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
= 2 / 735
= 2
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 152, 126, 735, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 126, 735, 213
The greatest common divisor of numbers 152, 126, 735, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 126, 735, 213 is 1.
1. What is the GCD of 152, 126, 735, 213?
GCD of given numbers 152, 126, 735, 213 is 1
2. How to calculate the greatest common divisor of 152, 126, 735, 213?
We can find the highest common divisor of 152, 126, 735, 213 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 152, 126, 735, 213 i.e 1.
3. How can I use the GCD of 152, 126, 735, 213Calculator?
Out the numbers 152, 126, 735, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.