Online GCD Calculator is useful to find the GCD of 920, 632, 336, 814 quickly. Get the easiest ways to solve the greatest common divisor of 920, 632, 336, 814 i.e 2 in different methods as follows.
Given Input numbers are 920, 632, 336, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (920, 632, 336, 814) = 2.
Given numbers are 920, 632, 336, 814
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 21
Therefore, GCD of 920, 632, 336, 814 is 2.
Given numbers are 920, 632, 336, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 632) = 72680
GCD(920, 632) = ( 920 x 632 ) / 72680
= 920 / 632
= 920
Step2:
LCM(8, 336) = 336
GCD(8, 336) = ( 8 x 336 ) / 336
= 8 / 336
= 8
Step3:
LCM(8, 814) = 3256
GCD(8, 814) = ( 8 x 814 ) / 3256
= 8 / 814
= 8
So, Greatest Common Divisor of 920, 632, 336, 814 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 632, 336, 814
The greatest common divisor of numbers 920, 632, 336, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 632, 336, 814 is 2.
1. What is the GCD of 920, 632, 336, 814?
GCD of given numbers 920, 632, 336, 814 is 2
2. How to calculate the greatest common divisor of 920, 632, 336, 814?
We can find the highest common divisor of 920, 632, 336, 814 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 920, 632, 336, 814 i.e 2.
3. How can I use the GCD of 920, 632, 336, 814Calculator?
Out the numbers 920, 632, 336, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.