GCD of 672, 680, 782, 454 Calculator

Given Input numbers are 672, 680, 782, 454

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

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (672, 680, 782, 454) = 2.

Given numbers are 672, 680, 782, 454

The list of prime factors of all numbers are

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 782 are 2 x 17 x 23

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 672, 680, 782, 454 is 2.

Given numbers are 672, 680, 782, 454

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

Apply this formula for all numbers.

Step1:

LCM(672, 680) = 57120

GCD(672, 680) = ( 672 x 680 ) / 57120

= 672 / 680

= 672

Step2:

LCM(8, 782) = 3128

GCD(8, 782) = ( 8 x 782 ) / 3128

= 8 / 782

= 8

Step3:

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

= 2 / 454

= 2

So, Greatest Common Divisor of 672, 680, 782, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 736, 486, 690
• GCD of 397, 364, 971, 666
• GCD of 268, 147, 388, 795
• GCD of 465, 769, 543, 981
• GCD of 945, 980, 341, 462

Given numbers are 672, 680, 782, 454
The greatest common divisor of numbers 672, 680, 782, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 680, 782, 454 is 2.

1. What is the GCD of 672, 680, 782, 454?

GCD of given numbers 672, 680, 782, 454 is 2

2. How to calculate the greatest common divisor of 672, 680, 782, 454?

We can find the highest common divisor of 672, 680, 782, 454 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 672, 680, 782, 454 i.e 2.

3. How can I use the GCD of 672, 680, 782, 454Calculator?

Out the numbers 672, 680, 782, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.