Online GCD Calculator is useful to find the GCD of 400, 286, 429, 701 quickly. Get the easiest ways to solve the greatest common divisor of 400, 286, 429, 701 i.e 1 in different methods as follows.
Given Input numbers are 400, 286, 429, 701
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
GCD of numbers is the greatest common divisor
So, the GCD (400, 286, 429, 701) = 1.
Given numbers are 400, 286, 429, 701
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 286 are 2 x 11 x 13
Prime factors of 429 are 3 x 11 x 13
Prime factors of 701 are 701
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 286, 429, 701
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 286) = 57200
GCD(400, 286) = ( 400 x 286 ) / 57200
= 400 / 286
= 400
Step2:
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
= 2 / 429
= 2
Step3:
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
= 1 / 701
= 1
So, Greatest Common Divisor of 400, 286, 429, 701 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 286, 429, 701
The greatest common divisor of numbers 400, 286, 429, 701 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 286, 429, 701 is 1.
1. What is the GCD of 400, 286, 429, 701?
GCD of given numbers 400, 286, 429, 701 is 1
2. How to calculate the greatest common divisor of 400, 286, 429, 701?
We can find the highest common divisor of 400, 286, 429, 701 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 400, 286, 429, 701 i.e 1.
3. How can I use the GCD of 400, 286, 429, 701Calculator?
Out the numbers 400, 286, 429, 701 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.