GCD of 712, 220, 144, 476 Calculator

Given Input numbers are 712, 220, 144, 476

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (712, 220, 144, 476) = 4.

Given numbers are 712, 220, 144, 476

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2²

Therefore, GCD of 712, 220, 144, 476 is 4.

Given numbers are 712, 220, 144, 476

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

Apply this formula for all numbers.

Step1:

LCM(712, 220) = 39160

GCD(712, 220) = ( 712 x 220 ) / 39160

= 712 / 220

= 712

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

= 4 / 476

= 4

So, Greatest Common Divisor of 712, 220, 144, 476 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 540, 244, 894
• GCD of 783, 366, 551, 823
• GCD of 882, 910, 213, 746
• GCD of 694, 570, 538, 810
• GCD of 486, 182, 402, 100

Given numbers are 712, 220, 144, 476
The greatest common divisor of numbers 712, 220, 144, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 220, 144, 476 is 4.

1. What is the GCD of 712, 220, 144, 476?

GCD of given numbers 712, 220, 144, 476 is 4

2. How to calculate the greatest common divisor of 712, 220, 144, 476?

We can find the highest common divisor of 712, 220, 144, 476 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 712, 220, 144, 476 i.e 4.

3. How can I use the GCD of 712, 220, 144, 476Calculator?

Out the numbers 712, 220, 144, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.