GCD of 772, 224, 698, 352 Calculator

Given Input numbers are 772, 224, 698, 352

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (772, 224, 698, 352) = 2.

Given numbers are 772, 224, 698, 352

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 698 are 2 x 349

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 772, 224, 698, 352 is 2.

Given numbers are 772, 224, 698, 352

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

Apply this formula for all numbers.

Step1:

LCM(772, 224) = 43232

GCD(772, 224) = ( 772 x 224 ) / 43232

= 772 / 224

= 772

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 772, 224, 698, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 384, 498, 639
• GCD of 144, 480, 509, 696
• GCD of 315, 807, 826, 159
• GCD of 768, 166, 659, 513
• GCD of 182, 131, 235, 894

Given numbers are 772, 224, 698, 352
The greatest common divisor of numbers 772, 224, 698, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 224, 698, 352 is 2.

1. What is the GCD of 772, 224, 698, 352?

GCD of given numbers 772, 224, 698, 352 is 2

2. How to calculate the greatest common divisor of 772, 224, 698, 352?

We can find the highest common divisor of 772, 224, 698, 352 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 772, 224, 698, 352 i.e 2.

3. How can I use the GCD of 772, 224, 698, 352Calculator?

Out the numbers 772, 224, 698, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.