GCD of 672, 850, 464, 458 Calculator

Given Input numbers are 672, 850, 464, 458

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (672, 850, 464, 458) = 2.

Given numbers are 672, 850, 464, 458

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 850 are 2 x 5 x 5 x 17

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 458 are 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 672, 850, 464, 458 is 2.

Given numbers are 672, 850, 464, 458

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

Apply this formula for all numbers.

Step1:

LCM(672, 850) = 285600

GCD(672, 850) = ( 672 x 850 ) / 285600

= 672 / 850

= 672

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

So, Greatest Common Divisor of 672, 850, 464, 458 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 753, 613, 395
• GCD of 451, 121, 556, 623
• GCD of 171, 116, 991, 359
• GCD of 113, 360, 820, 393
• GCD of 892, 970, 781, 988

Given numbers are 672, 850, 464, 458
The greatest common divisor of numbers 672, 850, 464, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 850, 464, 458 is 2.

1. What is the GCD of 672, 850, 464, 458?

GCD of given numbers 672, 850, 464, 458 is 2

2. How to calculate the greatest common divisor of 672, 850, 464, 458?

We can find the highest common divisor of 672, 850, 464, 458 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, 850, 464, 458 i.e 2.

3. How can I use the GCD of 672, 850, 464, 458Calculator?

Out the numbers 672, 850, 464, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.