Online GCD Calculator is useful to find the GCD of 700, 627, 824, 288 quickly. Get the easiest ways to solve the greatest common divisor of 700, 627, 824, 288 i.e 1 in different methods as follows.
Given Input numbers are 700, 627, 824, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (700, 627, 824, 288) = 1.
Given numbers are 700, 627, 824, 288
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 627 are 3 x 11 x 19
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 627, 824, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 627) = 438900
GCD(700, 627) = ( 700 x 627 ) / 438900
= 700 / 627
= 700
Step2:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 700, 627, 824, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 627, 824, 288
The greatest common divisor of numbers 700, 627, 824, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 627, 824, 288 is 1.
1. What is the GCD of 700, 627, 824, 288?
GCD of given numbers 700, 627, 824, 288 is 1
2. How to calculate the greatest common divisor of 700, 627, 824, 288?
We can find the highest common divisor of 700, 627, 824, 288 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 700, 627, 824, 288 i.e 1.
3. How can I use the GCD of 700, 627, 824, 288Calculator?
Out the numbers 700, 627, 824, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.