GCD of 548, 556, 940, 976 Calculator

Given Input numbers are 548, 556, 940, 976

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (548, 556, 940, 976) = 4.

Given numbers are 548, 556, 940, 976

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 556 are 2 x 2 x 139

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2²

Therefore, GCD of 548, 556, 940, 976 is 4.

Given numbers are 548, 556, 940, 976

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

Apply this formula for all numbers.

Step1:

LCM(548, 556) = 76172

GCD(548, 556) = ( 548 x 556 ) / 76172

= 548 / 556

= 548

Step2:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

Step3:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

So, Greatest Common Divisor of 548, 556, 940, 976 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 810, 620, 542
• GCD of 637, 187, 298, 516
• GCD of 946, 900, 862, 105
• GCD of 288, 280, 367, 424
• GCD of 203, 442, 637, 736

Given numbers are 548, 556, 940, 976
The greatest common divisor of numbers 548, 556, 940, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 556, 940, 976 is 4.

1. What is the GCD of 548, 556, 940, 976?

GCD of given numbers 548, 556, 940, 976 is 4

2. How to calculate the greatest common divisor of 548, 556, 940, 976?

We can find the highest common divisor of 548, 556, 940, 976 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 548, 556, 940, 976 i.e 4.

3. How can I use the GCD of 548, 556, 940, 976Calculator?

Out the numbers 548, 556, 940, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.