GCD of 658, 870, 464, 492 Calculator

Given Input numbers are 658, 870, 464, 492

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (658, 870, 464, 492) = 2.

Given numbers are 658, 870, 464, 492

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 870 are 2 x 3 x 5 x 29

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

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 658, 870, 464, 492 is 2.

Given numbers are 658, 870, 464, 492

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

Apply this formula for all numbers.

Step1:

LCM(658, 870) = 286230

GCD(658, 870) = ( 658 x 870 ) / 286230

= 658 / 870

= 658

Step2:

LCM(2, 464) = 464

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

= 2 / 464

= 2

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 658, 870, 464, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 759, 775, 311
• GCD of 180, 647, 468, 325
• GCD of 149, 171, 390, 718
• GCD of 714, 877, 210, 305
• GCD of 236, 564, 990, 424

Given numbers are 658, 870, 464, 492
The greatest common divisor of numbers 658, 870, 464, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 870, 464, 492 is 2.

1. What is the GCD of 658, 870, 464, 492?

GCD of given numbers 658, 870, 464, 492 is 2

2. How to calculate the greatest common divisor of 658, 870, 464, 492?

We can find the highest common divisor of 658, 870, 464, 492 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 658, 870, 464, 492 i.e 2.

3. How can I use the GCD of 658, 870, 464, 492Calculator?

Out the numbers 658, 870, 464, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.