GCD of 112, 648, 920, 672 Calculator

Given Input numbers are 112, 648, 920, 672

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 (112, 648, 920, 672) = 8.

Given numbers are 112, 648, 920, 672

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

The highest common occurrence is 2³

Therefore, GCD of 112, 648, 920, 672 is 8.

Given numbers are 112, 648, 920, 672

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

Apply this formula for all numbers.

Step1:

LCM(112, 648) = 9072

GCD(112, 648) = ( 112 x 648 ) / 9072

= 112 / 648

= 112

Step2:

LCM(8, 920) = 920

GCD(8, 920) = ( 8 x 920 ) / 920

= 8 / 920

= 8

Step3:

LCM(8, 672) = 672

GCD(8, 672) = ( 8 x 672 ) / 672

= 8 / 672

= 8

So, Greatest Common Divisor of 112, 648, 920, 672 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 216, 681, 899
• GCD of 607, 358, 968, 793
• GCD of 347, 956, 717, 876
• GCD of 222, 252, 173, 200
• GCD of 234, 900, 980, 267

Given numbers are 112, 648, 920, 672
The greatest common divisor of numbers 112, 648, 920, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 648, 920, 672 is 8.

1. What is the GCD of 112, 648, 920, 672?

GCD of given numbers 112, 648, 920, 672 is 8

2. How to calculate the greatest common divisor of 112, 648, 920, 672?

We can find the highest common divisor of 112, 648, 920, 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 112, 648, 920, 672 i.e 8.

3. How can I use the GCD of 112, 648, 920, 672Calculator?

Out the numbers 112, 648, 920, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.