Online GCD Calculator is useful to find the GCD of 400, 674, 60, 572 quickly. Get the easiest ways to solve the greatest common divisor of 400, 674, 60, 572 i.e 2 in different methods as follows.
Given Input numbers are 400, 674, 60, 572
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 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
GCD of numbers is the greatest common divisor
So, the GCD (400, 674, 60, 572) = 2.
Given numbers are 400, 674, 60, 572
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 674 are 2 x 337
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 572 are 2 x 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 400, 674, 60, 572 is 2.
Given numbers are 400, 674, 60, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 674) = 134800
GCD(400, 674) = ( 400 x 674 ) / 134800
= 400 / 674
= 400
Step2:
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
= 2 / 60
= 2
Step3:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
So, Greatest Common Divisor of 400, 674, 60, 572 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 674, 60, 572
The greatest common divisor of numbers 400, 674, 60, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 674, 60, 572 is 2.
1. What is the GCD of 400, 674, 60, 572?
GCD of given numbers 400, 674, 60, 572 is 2
2. How to calculate the greatest common divisor of 400, 674, 60, 572?
We can find the highest common divisor of 400, 674, 60, 572 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, 674, 60, 572 i.e 2.
3. How can I use the GCD of 400, 674, 60, 572Calculator?
Out the numbers 400, 674, 60, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.