Online GCD Calculator is useful to find the GCD of 756, 810, 378, 152 quickly. Get the easiest ways to solve the greatest common divisor of 756, 810, 378, 152 i.e 2 in different methods as follows.
Given Input numbers are 756, 810, 378, 152
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (756, 810, 378, 152) = 2.
Given numbers are 756, 810, 378, 152
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 152 are 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 756, 810, 378, 152 is 2.
Given numbers are 756, 810, 378, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 810) = 11340
GCD(756, 810) = ( 756 x 810 ) / 11340
= 756 / 810
= 756
Step2:
LCM(54, 378) = 378
GCD(54, 378) = ( 54 x 378 ) / 378
= 54 / 378
= 54
Step3:
LCM(54, 152) = 4104
GCD(54, 152) = ( 54 x 152 ) / 4104
= 54 / 152
= 54
So, Greatest Common Divisor of 756, 810, 378, 152 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 810, 378, 152
The greatest common divisor of numbers 756, 810, 378, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 810, 378, 152 is 2.
1. What is the GCD of 756, 810, 378, 152?
GCD of given numbers 756, 810, 378, 152 is 2
2. How to calculate the greatest common divisor of 756, 810, 378, 152?
We can find the highest common divisor of 756, 810, 378, 152 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 756, 810, 378, 152 i.e 2.
3. How can I use the GCD of 756, 810, 378, 152Calculator?
Out the numbers 756, 810, 378, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.