GCD of 356, 772, 560, 228 Calculator

Given Input numbers are 356, 772, 560, 228

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

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (356, 772, 560, 228) = 4.

Given numbers are 356, 772, 560, 228

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 772 are 2 x 2 x 193

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 356, 772, 560, 228 is 4.

Given numbers are 356, 772, 560, 228

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

Apply this formula for all numbers.

Step1:

LCM(356, 772) = 68708

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

= 356 / 772

= 356

Step2:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

Step3:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

So, Greatest Common Divisor of 356, 772, 560, 228 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 511, 373, 860
• GCD of 379, 924, 779, 707
• GCD of 116, 378, 435, 121
• GCD of 419, 414, 120, 398
• GCD of 490, 629, 979, 291

Given numbers are 356, 772, 560, 228
The greatest common divisor of numbers 356, 772, 560, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 772, 560, 228 is 4.

1. What is the GCD of 356, 772, 560, 228?

GCD of given numbers 356, 772, 560, 228 is 4

2. How to calculate the greatest common divisor of 356, 772, 560, 228?

We can find the highest common divisor of 356, 772, 560, 228 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 356, 772, 560, 228 i.e 4.

3. How can I use the GCD of 356, 772, 560, 228Calculator?

Out the numbers 356, 772, 560, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.