GCD of 738, 880, 478, 946 Calculator

Given Input numbers are 738, 880, 478, 946

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (738, 880, 478, 946) = 2.

Given numbers are 738, 880, 478, 946

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 478 are 2 x 239

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 738, 880, 478, 946 is 2.

Given numbers are 738, 880, 478, 946

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

Apply this formula for all numbers.

Step1:

LCM(738, 880) = 324720

GCD(738, 880) = ( 738 x 880 ) / 324720

= 738 / 880

= 738

Step2:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 738, 880, 478, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 562, 217, 588
• GCD of 889, 404, 136, 632
• GCD of 883, 959, 727, 426
• GCD of 621, 421, 447, 854
• GCD of 264, 881, 152, 323

Given numbers are 738, 880, 478, 946
The greatest common divisor of numbers 738, 880, 478, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 880, 478, 946 is 2.

1. What is the GCD of 738, 880, 478, 946?

GCD of given numbers 738, 880, 478, 946 is 2

2. How to calculate the greatest common divisor of 738, 880, 478, 946?

We can find the highest common divisor of 738, 880, 478, 946 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 738, 880, 478, 946 i.e 2.

3. How can I use the GCD of 738, 880, 478, 946Calculator?

Out the numbers 738, 880, 478, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.