GCD of 220, 784, 136, 748 Calculator

Given Input numbers are 220, 784, 136, 748

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (220, 784, 136, 748) = 4.

Given numbers are 220, 784, 136, 748

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2²

Therefore, GCD of 220, 784, 136, 748 is 4.

Given numbers are 220, 784, 136, 748

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

Apply this formula for all numbers.

Step1:

LCM(220, 784) = 43120

GCD(220, 784) = ( 220 x 784 ) / 43120

= 220 / 784

= 220

Step2:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4

Step3:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

So, Greatest Common Divisor of 220, 784, 136, 748 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 341, 527, 262
• GCD of 562, 608, 195, 152
• GCD of 271, 773, 603, 172
• GCD of 356, 594, 131, 434
• GCD of 453, 528, 144, 721

Given numbers are 220, 784, 136, 748
The greatest common divisor of numbers 220, 784, 136, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 784, 136, 748 is 4.

1. What is the GCD of 220, 784, 136, 748?

GCD of given numbers 220, 784, 136, 748 is 4

2. How to calculate the greatest common divisor of 220, 784, 136, 748?

We can find the highest common divisor of 220, 784, 136, 748 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 220, 784, 136, 748 i.e 4.

3. How can I use the GCD of 220, 784, 136, 748Calculator?

Out the numbers 220, 784, 136, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.