Online GCD Calculator is useful to find the GCD of 400, 695, 560, 448 quickly. Get the easiest ways to solve the greatest common divisor of 400, 695, 560, 448 i.e 1 in different methods as follows.
Given Input numbers are 400, 695, 560, 448
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 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (400, 695, 560, 448) = 1.
Given numbers are 400, 695, 560, 448
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 695 are 5 x 139
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 695, 560, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 695) = 55600
GCD(400, 695) = ( 400 x 695 ) / 55600
= 400 / 695
= 400
Step2:
LCM(5, 560) = 560
GCD(5, 560) = ( 5 x 560 ) / 560
= 5 / 560
= 5
Step3:
LCM(5, 448) = 2240
GCD(5, 448) = ( 5 x 448 ) / 2240
= 5 / 448
= 5
So, Greatest Common Divisor of 400, 695, 560, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 695, 560, 448
The greatest common divisor of numbers 400, 695, 560, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 695, 560, 448 is 1.
1. What is the GCD of 400, 695, 560, 448?
GCD of given numbers 400, 695, 560, 448 is 1
2. How to calculate the greatest common divisor of 400, 695, 560, 448?
We can find the highest common divisor of 400, 695, 560, 448 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, 695, 560, 448 i.e 1.
3. How can I use the GCD of 400, 695, 560, 448Calculator?
Out the numbers 400, 695, 560, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.