GCD of 458, 308, 968, 852 Calculator

Given Input numbers are 458, 308, 968, 852

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

Divisors of 458 :

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

1, 2, 229, 458

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (458, 308, 968, 852) = 2.

Given numbers are 458, 308, 968, 852

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 458, 308, 968, 852 is 2.

Given numbers are 458, 308, 968, 852

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

Apply this formula for all numbers.

Step1:

LCM(458, 308) = 70532

GCD(458, 308) = ( 458 x 308 ) / 70532

= 458 / 308

= 458

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 458, 308, 968, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 931, 227, 317
• GCD of 658, 999, 292, 948
• GCD of 654, 524, 739, 672
• GCD of 976, 438, 721, 895
• GCD of 759, 251, 886, 216

Given numbers are 458, 308, 968, 852
The greatest common divisor of numbers 458, 308, 968, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 308, 968, 852 is 2.

1. What is the GCD of 458, 308, 968, 852?

GCD of given numbers 458, 308, 968, 852 is 2

2. How to calculate the greatest common divisor of 458, 308, 968, 852?

We can find the highest common divisor of 458, 308, 968, 852 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 458, 308, 968, 852 i.e 2.

3. How can I use the GCD of 458, 308, 968, 852Calculator?

Out the numbers 458, 308, 968, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.