Online GCD Calculator is useful to find the GCD of 547, 924, 945, 138 quickly. Get the easiest ways to solve the greatest common divisor of 547, 924, 945, 138 i.e 1 in different methods as follows.
Given Input numbers are 547, 924, 945, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 547 :
The positive integer divisors of 547 that completely divides 547 are.
1, 547
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (547, 924, 945, 138) = 1.
Given numbers are 547, 924, 945, 138
The list of prime factors of all numbers are
Prime factors of 547 are 547
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 547, 924, 945, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(547, 924) = 505428
GCD(547, 924) = ( 547 x 924 ) / 505428
= 547 / 924
= 547
Step2:
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
= 1 / 945
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 547, 924, 945, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 547, 924, 945, 138
The greatest common divisor of numbers 547, 924, 945, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 547, 924, 945, 138 is 1.
1. What is the GCD of 547, 924, 945, 138?
GCD of given numbers 547, 924, 945, 138 is 1
2. How to calculate the greatest common divisor of 547, 924, 945, 138?
We can find the highest common divisor of 547, 924, 945, 138 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 547, 924, 945, 138 i.e 1.
3. How can I use the GCD of 547, 924, 945, 138Calculator?
Out the numbers 547, 924, 945, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.