GCD of 542, 826, 130, 772 Calculator

Given Input numbers are 542, 826, 130, 772

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (542, 826, 130, 772) = 2.

Given numbers are 542, 826, 130, 772

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 826 are 2 x 7 x 59

Prime factors of 130 are 2 x 5 x 13

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 542, 826, 130, 772 is 2.

Given numbers are 542, 826, 130, 772

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

Apply this formula for all numbers.

Step1:

LCM(542, 826) = 223846

GCD(542, 826) = ( 542 x 826 ) / 223846

= 542 / 826

= 542

Step2:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

Step3:

LCM(2, 772) = 772

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

= 2 / 772

= 2

So, Greatest Common Divisor of 542, 826, 130, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 188, 848, 409
• GCD of 740, 618, 580, 127
• GCD of 958, 385, 518, 753
• GCD of 590, 862, 959, 215
• GCD of 394, 141, 166, 876

Given numbers are 542, 826, 130, 772
The greatest common divisor of numbers 542, 826, 130, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 826, 130, 772 is 2.

1. What is the GCD of 542, 826, 130, 772?

GCD of given numbers 542, 826, 130, 772 is 2

2. How to calculate the greatest common divisor of 542, 826, 130, 772?

We can find the highest common divisor of 542, 826, 130, 772 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 542, 826, 130, 772 i.e 2.

3. How can I use the GCD of 542, 826, 130, 772Calculator?

Out the numbers 542, 826, 130, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.