Online GCD Calculator is useful to find the GCD of 814, 368, 638, 707 quickly. Get the easiest ways to solve the greatest common divisor of 814, 368, 638, 707 i.e 1 in different methods as follows.
Given Input numbers are 814, 368, 638, 707
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (814, 368, 638, 707) = 1.
Given numbers are 814, 368, 638, 707
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 638 are 2 x 11 x 29
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 368, 638, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 368) = 149776
GCD(814, 368) = ( 814 x 368 ) / 149776
= 814 / 368
= 814
Step2:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
Step3:
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
= 2 / 707
= 2
So, Greatest Common Divisor of 814, 368, 638, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 368, 638, 707
The greatest common divisor of numbers 814, 368, 638, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 368, 638, 707 is 1.
1. What is the GCD of 814, 368, 638, 707?
GCD of given numbers 814, 368, 638, 707 is 1
2. How to calculate the greatest common divisor of 814, 368, 638, 707?
We can find the highest common divisor of 814, 368, 638, 707 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 814, 368, 638, 707 i.e 1.
3. How can I use the GCD of 814, 368, 638, 707Calculator?
Out the numbers 814, 368, 638, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.