GCD of 148, 958, 416, 960 Calculator

Given Input numbers are 148, 958, 416, 960

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (148, 958, 416, 960) = 2.

Given numbers are 148, 958, 416, 960

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 958 are 2 x 479

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 148, 958, 416, 960 is 2.

Given numbers are 148, 958, 416, 960

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

Apply this formula for all numbers.

Step1:

LCM(148, 958) = 70892

GCD(148, 958) = ( 148 x 958 ) / 70892

= 148 / 958

= 148

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 148, 958, 416, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 295, 703, 965
• GCD of 656, 356, 722, 850
• GCD of 463, 488, 358, 969
• GCD of 583, 744, 579, 863
• GCD of 930, 330, 301, 690

Given numbers are 148, 958, 416, 960
The greatest common divisor of numbers 148, 958, 416, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 958, 416, 960 is 2.

1. What is the GCD of 148, 958, 416, 960?

GCD of given numbers 148, 958, 416, 960 is 2

2. How to calculate the greatest common divisor of 148, 958, 416, 960?

We can find the highest common divisor of 148, 958, 416, 960 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 148, 958, 416, 960 i.e 2.

3. How can I use the GCD of 148, 958, 416, 960Calculator?

Out the numbers 148, 958, 416, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.