Online GCD Calculator is useful to find the GCD of 924, 972, 992, 869 quickly. Get the easiest ways to solve the greatest common divisor of 924, 972, 992, 869 i.e 1 in different methods as follows.
Given Input numbers are 924, 972, 992, 869
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
GCD of numbers is the greatest common divisor
So, the GCD (924, 972, 992, 869) = 1.
Given numbers are 924, 972, 992, 869
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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 869 are 11 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 924, 972, 992, 869
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 972) = 74844
GCD(924, 972) = ( 924 x 972 ) / 74844
= 924 / 972
= 924
Step2:
LCM(12, 992) = 2976
GCD(12, 992) = ( 12 x 992 ) / 2976
= 12 / 992
= 12
Step3:
LCM(4, 869) = 3476
GCD(4, 869) = ( 4 x 869 ) / 3476
= 4 / 869
= 4
So, Greatest Common Divisor of 924, 972, 992, 869 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 972, 992, 869
The greatest common divisor of numbers 924, 972, 992, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 972, 992, 869 is 1.
1. What is the GCD of 924, 972, 992, 869?
GCD of given numbers 924, 972, 992, 869 is 1
2. How to calculate the greatest common divisor of 924, 972, 992, 869?
We can find the highest common divisor of 924, 972, 992, 869 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, 972, 992, 869 i.e 1.
3. How can I use the GCD of 924, 972, 992, 869Calculator?
Out the numbers 924, 972, 992, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.