Online GCD Calculator is useful to find the GCD of 670, 624, 914, 838 quickly. Get the easiest ways to solve the greatest common divisor of 670, 624, 914, 838 i.e 2 in different methods as follows.
Given Input numbers are 670, 624, 914, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
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 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (670, 624, 914, 838) = 2.
Given numbers are 670, 624, 914, 838
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 914 are 2 x 457
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 670, 624, 914, 838 is 2.
Given numbers are 670, 624, 914, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 624) = 209040
GCD(670, 624) = ( 670 x 624 ) / 209040
= 670 / 624
= 670
Step2:
LCM(2, 914) = 914
GCD(2, 914) = ( 2 x 914 ) / 914
= 2 / 914
= 2
Step3:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
So, Greatest Common Divisor of 670, 624, 914, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 670, 624, 914, 838
The greatest common divisor of numbers 670, 624, 914, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 624, 914, 838 is 2.
1. What is the GCD of 670, 624, 914, 838?
GCD of given numbers 670, 624, 914, 838 is 2
2. How to calculate the greatest common divisor of 670, 624, 914, 838?
We can find the highest common divisor of 670, 624, 914, 838 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 670, 624, 914, 838 i.e 2.
3. How can I use the GCD of 670, 624, 914, 838Calculator?
Out the numbers 670, 624, 914, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.