GCD of 916, 696, 148, 672 Calculator

Given Input numbers are 916, 696, 148, 672

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (916, 696, 148, 672) = 4.

Given numbers are 916, 696, 148, 672

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 148 are 2 x 2 x 37

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 916, 696, 148, 672 is 4.

Given numbers are 916, 696, 148, 672

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

Apply this formula for all numbers.

Step1:

LCM(916, 696) = 159384

GCD(916, 696) = ( 916 x 696 ) / 159384

= 916 / 696

= 916

Step2:

LCM(4, 148) = 148

GCD(4, 148) = ( 4 x 148 ) / 148

= 4 / 148

= 4

Step3:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4

So, Greatest Common Divisor of 916, 696, 148, 672 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 901, 671, 325
• GCD of 612, 233, 479, 619
• GCD of 768, 414, 540, 264
• GCD of 407, 269, 357, 979
• GCD of 512, 583, 209, 310

Given numbers are 916, 696, 148, 672
The greatest common divisor of numbers 916, 696, 148, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 696, 148, 672 is 4.

1. What is the GCD of 916, 696, 148, 672?

GCD of given numbers 916, 696, 148, 672 is 4

2. How to calculate the greatest common divisor of 916, 696, 148, 672?

We can find the highest common divisor of 916, 696, 148, 672 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 916, 696, 148, 672 i.e 4.

3. How can I use the GCD of 916, 696, 148, 672Calculator?

Out the numbers 916, 696, 148, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.