Online GCD Calculator is useful to find the GCD of 924, 744, 504, 702 quickly. Get the easiest ways to solve the greatest common divisor of 924, 744, 504, 702 i.e 6 in different methods as follows.
Given Input numbers are 924, 744, 504, 702
In the factoring method, we have to find the divisors of all numbers
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 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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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
GCD of numbers is the greatest common divisor
So, the GCD (924, 744, 504, 702) = 6.
Given numbers are 924, 744, 504, 702
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 924, 744, 504, 702 is 6.
Given numbers are 924, 744, 504, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 744) = 57288
GCD(924, 744) = ( 924 x 744 ) / 57288
= 924 / 744
= 924
Step2:
LCM(12, 504) = 504
GCD(12, 504) = ( 12 x 504 ) / 504
= 12 / 504
= 12
Step3:
LCM(12, 702) = 1404
GCD(12, 702) = ( 12 x 702 ) / 1404
= 12 / 702
= 12
So, Greatest Common Divisor of 924, 744, 504, 702 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 744, 504, 702
The greatest common divisor of numbers 924, 744, 504, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 744, 504, 702 is 6.
1. What is the GCD of 924, 744, 504, 702?
GCD of given numbers 924, 744, 504, 702 is 6
2. How to calculate the greatest common divisor of 924, 744, 504, 702?
We can find the highest common divisor of 924, 744, 504, 702 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 924, 744, 504, 702 i.e 6.
3. How can I use the GCD of 924, 744, 504, 702Calculator?
Out the numbers 924, 744, 504, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.