GCD of 824, 722, 664, 700 Calculator

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.

• GCD of 475, 995, 570, 596
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• GCD of 841, 595, 387, 179
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• GCD of 975, 489, 609, 863

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.