Online GCD Calculator is useful to find the GCD of 824, 722, 664, 700 quickly. Get the easiest ways to solve the greatest common divisor of 824, 722, 664, 700 i.e 2 in different methods as follows.
Given Input numbers are 824, 722, 664, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
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
GCD of numbers is the greatest common divisor
So, the GCD (824, 722, 664, 700) = 2.
Given numbers are 824, 722, 664, 700
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 722 are 2 x 19 x 19
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 824, 722, 664, 700 is 2.
Given numbers are 824, 722, 664, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 722) = 297464
GCD(824, 722) = ( 824 x 722 ) / 297464
= 824 / 722
= 824
Step2:
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
= 2 / 664
= 2
Step3:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 824, 722, 664, 700 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 722, 664, 700
The greatest common divisor of numbers 824, 722, 664, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 722, 664, 700 is 2.
1. What is the GCD of 824, 722, 664, 700?
GCD of given numbers 824, 722, 664, 700 is 2
2. How to calculate the greatest common divisor of 824, 722, 664, 700?
We can find the highest common divisor of 824, 722, 664, 700 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 824, 722, 664, 700 i.e 2.
3. How can I use the GCD of 824, 722, 664, 700Calculator?
Out the numbers 824, 722, 664, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.