GCD of 772, 356, 588, 746 Calculator

Given Input numbers are 772, 356, 588, 746

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (772, 356, 588, 746) = 2.

Given numbers are 772, 356, 588, 746

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 356 are 2 x 2 x 89

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 772, 356, 588, 746 is 2.

Given numbers are 772, 356, 588, 746

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

Apply this formula for all numbers.

Step1:

LCM(772, 356) = 68708

GCD(772, 356) = ( 772 x 356 ) / 68708

= 772 / 356

= 772

Step2:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

Step3:

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

= 4 / 746

= 4

So, Greatest Common Divisor of 772, 356, 588, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 704, 253, 456
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• GCD of 779, 498, 390, 420
• GCD of 637, 830, 230, 930

Given numbers are 772, 356, 588, 746
The greatest common divisor of numbers 772, 356, 588, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 356, 588, 746 is 2.

1. What is the GCD of 772, 356, 588, 746?

GCD of given numbers 772, 356, 588, 746 is 2

2. How to calculate the greatest common divisor of 772, 356, 588, 746?

We can find the highest common divisor of 772, 356, 588, 746 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, 356, 588, 746 i.e 2.

3. How can I use the GCD of 772, 356, 588, 746Calculator?

Out the numbers 772, 356, 588, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.