Online GCD Calculator is useful to find the GCD of 297, 744, 698, 924 quickly. Get the easiest ways to solve the greatest common divisor of 297, 744, 698, 924 i.e 1 in different methods as follows.
Given Input numbers are 297, 744, 698, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
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
GCD of numbers is the greatest common divisor
So, the GCD (297, 744, 698, 924) = 1.
Given numbers are 297, 744, 698, 924
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 698 are 2 x 349
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 297, 744, 698, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 744) = 73656
GCD(297, 744) = ( 297 x 744 ) / 73656
= 297 / 744
= 297
Step2:
LCM(3, 698) = 2094
GCD(3, 698) = ( 3 x 698 ) / 2094
= 3 / 698
= 3
Step3:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
So, Greatest Common Divisor of 297, 744, 698, 924 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 744, 698, 924
The greatest common divisor of numbers 297, 744, 698, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 744, 698, 924 is 1.
1. What is the GCD of 297, 744, 698, 924?
GCD of given numbers 297, 744, 698, 924 is 1
2. How to calculate the greatest common divisor of 297, 744, 698, 924?
We can find the highest common divisor of 297, 744, 698, 924 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 297, 744, 698, 924 i.e 1.
3. How can I use the GCD of 297, 744, 698, 924Calculator?
Out the numbers 297, 744, 698, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.