GCD of 678, 972, 495, 672 Calculator

Given Input numbers are 678, 972, 495, 672

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 (678, 972, 495, 672) = 3.

Given numbers are 678, 972, 495, 672

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 495 are 3 x 3 x 5 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 678, 972, 495, 672 is 3.

Given numbers are 678, 972, 495, 672

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

Apply this formula for all numbers.

Step1:

LCM(678, 972) = 109836

GCD(678, 972) = ( 678 x 972 ) / 109836

= 678 / 972

= 678

Step2:

LCM(6, 495) = 990

GCD(6, 495) = ( 6 x 495 ) / 990

= 6 / 495

= 6

Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

So, Greatest Common Divisor of 678, 972, 495, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 350, 972, 797
• GCD of 762, 102, 834, 541
• GCD of 166, 575, 151, 346
• GCD of 872, 711, 444, 245
• GCD of 936, 984, 353, 164

Given numbers are 678, 972, 495, 672
The greatest common divisor of numbers 678, 972, 495, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 972, 495, 672 is 3.

1. What is the GCD of 678, 972, 495, 672?

GCD of given numbers 678, 972, 495, 672 is 3

2. How to calculate the greatest common divisor of 678, 972, 495, 672?

We can find the highest common divisor of 678, 972, 495, 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 678, 972, 495, 672 i.e 3.

3. How can I use the GCD of 678, 972, 495, 672Calculator?

Out the numbers 678, 972, 495, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.