GCD of 438, 224, 110, 762 Calculator

Given Input numbers are 438, 224, 110, 762

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (438, 224, 110, 762) = 2.

Given numbers are 438, 224, 110, 762

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 110 are 2 x 5 x 11

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 438, 224, 110, 762 is 2.

Given numbers are 438, 224, 110, 762

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

Apply this formula for all numbers.

Step1:

LCM(438, 224) = 49056

GCD(438, 224) = ( 438 x 224 ) / 49056

= 438 / 224

= 438

Step2:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 438, 224, 110, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 453, 714, 513
• GCD of 876, 807, 788, 282
• GCD of 779, 747, 359, 318
• GCD of 322, 827, 921, 320
• GCD of 685, 230, 500, 892

Given numbers are 438, 224, 110, 762
The greatest common divisor of numbers 438, 224, 110, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 224, 110, 762 is 2.

1. What is the GCD of 438, 224, 110, 762?

GCD of given numbers 438, 224, 110, 762 is 2

2. How to calculate the greatest common divisor of 438, 224, 110, 762?

We can find the highest common divisor of 438, 224, 110, 762 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 438, 224, 110, 762 i.e 2.

3. How can I use the GCD of 438, 224, 110, 762Calculator?

Out the numbers 438, 224, 110, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.