GCD of 946, 748, 152, 440 Calculator

Given Input numbers are 946, 748, 152, 440

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

Divisors of 946 :

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

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

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (946, 748, 152, 440) = 2.

Given numbers are 946, 748, 152, 440

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 946, 748, 152, 440 is 2.

Given numbers are 946, 748, 152, 440

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

Apply this formula for all numbers.

Step1:

LCM(946, 748) = 32164

GCD(946, 748) = ( 946 x 748 ) / 32164

= 946 / 748

= 946

Step2:

LCM(22, 152) = 1672

GCD(22, 152) = ( 22 x 152 ) / 1672

= 22 / 152

= 22

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 946, 748, 152, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 315, 410, 469
• GCD of 925, 607, 352, 732
• GCD of 834, 923, 659, 464
• GCD of 916, 960, 177, 469
• GCD of 664, 641, 733, 650

Given numbers are 946, 748, 152, 440
The greatest common divisor of numbers 946, 748, 152, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 748, 152, 440 is 2.

1. What is the GCD of 946, 748, 152, 440?

GCD of given numbers 946, 748, 152, 440 is 2

2. How to calculate the greatest common divisor of 946, 748, 152, 440?

We can find the highest common divisor of 946, 748, 152, 440 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 946, 748, 152, 440 i.e 2.

3. How can I use the GCD of 946, 748, 152, 440Calculator?

Out the numbers 946, 748, 152, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.