Online GCD Calculator is useful to find the GCD of 684, 532, 874, 402 quickly. Get the easiest ways to solve the greatest common divisor of 684, 532, 874, 402 i.e 2 in different methods as follows.
Given Input numbers are 684, 532, 874, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (684, 532, 874, 402) = 2.
Given numbers are 684, 532, 874, 402
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 874 are 2 x 19 x 23
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 684, 532, 874, 402 is 2.
Given numbers are 684, 532, 874, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 532) = 4788
GCD(684, 532) = ( 684 x 532 ) / 4788
= 684 / 532
= 684
Step2:
LCM(76, 874) = 1748
GCD(76, 874) = ( 76 x 874 ) / 1748
= 76 / 874
= 76
Step3:
LCM(38, 402) = 7638
GCD(38, 402) = ( 38 x 402 ) / 7638
= 38 / 402
= 38
So, Greatest Common Divisor of 684, 532, 874, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 532, 874, 402
The greatest common divisor of numbers 684, 532, 874, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 532, 874, 402 is 2.
1. What is the GCD of 684, 532, 874, 402?
GCD of given numbers 684, 532, 874, 402 is 2
2. How to calculate the greatest common divisor of 684, 532, 874, 402?
We can find the highest common divisor of 684, 532, 874, 402 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 684, 532, 874, 402 i.e 2.
3. How can I use the GCD of 684, 532, 874, 402Calculator?
Out the numbers 684, 532, 874, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.