Online GCD Calculator is useful to find the GCD of 624, 856, 924, 988 quickly. Get the easiest ways to solve the greatest common divisor of 624, 856, 924, 988 i.e 4 in different methods as follows.
Given Input numbers are 624, 856, 924, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (624, 856, 924, 988) = 4.
Given numbers are 624, 856, 924, 988
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 22
Therefore, GCD of 624, 856, 924, 988 is 4.
Given numbers are 624, 856, 924, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 856) = 66768
GCD(624, 856) = ( 624 x 856 ) / 66768
= 624 / 856
= 624
Step2:
LCM(8, 924) = 1848
GCD(8, 924) = ( 8 x 924 ) / 1848
= 8 / 924
= 8
Step3:
LCM(4, 988) = 988
GCD(4, 988) = ( 4 x 988 ) / 988
= 4 / 988
= 4
So, Greatest Common Divisor of 624, 856, 924, 988 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 856, 924, 988
The greatest common divisor of numbers 624, 856, 924, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 856, 924, 988 is 4.
1. What is the GCD of 624, 856, 924, 988?
GCD of given numbers 624, 856, 924, 988 is 4
2. How to calculate the greatest common divisor of 624, 856, 924, 988?
We can find the highest common divisor of 624, 856, 924, 988 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 624, 856, 924, 988 i.e 4.
3. How can I use the GCD of 624, 856, 924, 988Calculator?
Out the numbers 624, 856, 924, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.