GCD of 758, 724, 772, 762 Calculator

Given Input numbers are 758, 724, 772, 762

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (758, 724, 772, 762) = 2.

Given numbers are 758, 724, 772, 762

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 724 are 2 x 2 x 181

Prime factors of 772 are 2 x 2 x 193

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 758, 724, 772, 762 is 2.

Given numbers are 758, 724, 772, 762

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

Apply this formula for all numbers.

Step1:

LCM(758, 724) = 274396

GCD(758, 724) = ( 758 x 724 ) / 274396

= 758 / 724

= 758

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 758, 724, 772, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 849, 995, 784
• GCD of 134, 100, 348, 396
• GCD of 891, 900, 780, 386
• GCD of 856, 189, 142, 711
• GCD of 813, 220, 739, 573

Given numbers are 758, 724, 772, 762
The greatest common divisor of numbers 758, 724, 772, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 724, 772, 762 is 2.

1. What is the GCD of 758, 724, 772, 762?

GCD of given numbers 758, 724, 772, 762 is 2

2. How to calculate the greatest common divisor of 758, 724, 772, 762?

We can find the highest common divisor of 758, 724, 772, 762 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 758, 724, 772, 762 i.e 2.

3. How can I use the GCD of 758, 724, 772, 762Calculator?

Out the numbers 758, 724, 772, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.