GCD of 650, 700, 768, 722 Calculator

Given Input numbers are 650, 700, 768, 722

In the factoring method, we have to find the divisors of all numbers

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (650, 700, 768, 722) = 2.

Given numbers are 650, 700, 768, 722

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 650, 700, 768, 722 is 2.

Given numbers are 650, 700, 768, 722

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(650, 700) = 9100

GCD(650, 700) = ( 650 x 700 ) / 9100

= 650 / 700

= 650

Step2:

LCM(50, 768) = 19200

GCD(50, 768) = ( 50 x 768 ) / 19200

= 50 / 768

= 50

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 650, 700, 768, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 431, 171, 684
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• GCD of 177, 986, 890, 196

Given numbers are 650, 700, 768, 722
The greatest common divisor of numbers 650, 700, 768, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 700, 768, 722 is 2.

1. What is the GCD of 650, 700, 768, 722?

GCD of given numbers 650, 700, 768, 722 is 2

2. How to calculate the greatest common divisor of 650, 700, 768, 722?

We can find the highest common divisor of 650, 700, 768, 722 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 650, 700, 768, 722 i.e 2.

3. How can I use the GCD of 650, 700, 768, 722Calculator?

Out the numbers 650, 700, 768, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.