GCD of 776, 868, 742, 558 Calculator

Given Input numbers are 776, 868, 742, 558

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (776, 868, 742, 558) = 2.

Given numbers are 776, 868, 742, 558

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 742 are 2 x 7 x 53

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 776, 868, 742, 558 is 2.

Given numbers are 776, 868, 742, 558

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

Apply this formula for all numbers.

Step1:

LCM(776, 868) = 168392

GCD(776, 868) = ( 776 x 868 ) / 168392

= 776 / 868

= 776

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 776, 868, 742, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 160, 661, 391
• GCD of 570, 577, 152, 385
• GCD of 833, 898, 670, 648
• GCD of 871, 957, 783, 240
• GCD of 679, 579, 448, 300

Given numbers are 776, 868, 742, 558
The greatest common divisor of numbers 776, 868, 742, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 868, 742, 558 is 2.

1. What is the GCD of 776, 868, 742, 558?

GCD of given numbers 776, 868, 742, 558 is 2

2. How to calculate the greatest common divisor of 776, 868, 742, 558?

We can find the highest common divisor of 776, 868, 742, 558 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 776, 868, 742, 558 i.e 2.

3. How can I use the GCD of 776, 868, 742, 558Calculator?

Out the numbers 776, 868, 742, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.