Online GCD Calculator is useful to find the GCD of 400, 708, 890, 962 quickly. Get the easiest ways to solve the greatest common divisor of 400, 708, 890, 962 i.e 2 in different methods as follows.
Given Input numbers are 400, 708, 890, 962
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (400, 708, 890, 962) = 2.
Given numbers are 400, 708, 890, 962
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 708 are 2 x 2 x 3 x 59
Prime factors of 890 are 2 x 5 x 89
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 400, 708, 890, 962 is 2.
Given numbers are 400, 708, 890, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 708) = 70800
GCD(400, 708) = ( 400 x 708 ) / 70800
= 400 / 708
= 400
Step2:
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
= 4 / 890
= 4
Step3:
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
= 2 / 962
= 2
So, Greatest Common Divisor of 400, 708, 890, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 708, 890, 962
The greatest common divisor of numbers 400, 708, 890, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 708, 890, 962 is 2.
1. What is the GCD of 400, 708, 890, 962?
GCD of given numbers 400, 708, 890, 962 is 2
2. How to calculate the greatest common divisor of 400, 708, 890, 962?
We can find the highest common divisor of 400, 708, 890, 962 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, 708, 890, 962 i.e 2.
3. How can I use the GCD of 400, 708, 890, 962Calculator?
Out the numbers 400, 708, 890, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.