GCD of 392, 976, 798, 722 Calculator

Given Input numbers are 392, 976, 798, 722

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 (392, 976, 798, 722) = 2.

Given numbers are 392, 976, 798, 722

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 392, 976, 798, 722 is 2.

Given numbers are 392, 976, 798, 722

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

Apply this formula for all numbers.

Step1:

LCM(392, 976) = 47824

GCD(392, 976) = ( 392 x 976 ) / 47824

= 392 / 976

= 392

Step2:

LCM(8, 798) = 3192

GCD(8, 798) = ( 8 x 798 ) / 3192

= 8 / 798

= 8

Step3:

LCM(2, 722) = 722

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

= 2 / 722

= 2

So, Greatest Common Divisor of 392, 976, 798, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 296, 343, 339
• GCD of 850, 969, 886, 294
• GCD of 226, 751, 803, 849
• GCD of 568, 713, 103, 438
• GCD of 612, 697, 221, 478

Given numbers are 392, 976, 798, 722
The greatest common divisor of numbers 392, 976, 798, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 976, 798, 722 is 2.

1. What is the GCD of 392, 976, 798, 722?

GCD of given numbers 392, 976, 798, 722 is 2

2. How to calculate the greatest common divisor of 392, 976, 798, 722?

We can find the highest common divisor of 392, 976, 798, 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 392, 976, 798, 722 i.e 2.

3. How can I use the GCD of 392, 976, 798, 722Calculator?

Out the numbers 392, 976, 798, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.