GCD of 698, 652, 560, 464 Calculator

Given Input numbers are 698, 652, 560, 464

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 464 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (698, 652, 560, 464) = 2.

Given numbers are 698, 652, 560, 464

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 652 are 2 x 2 x 163

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 698, 652, 560, 464 is 2.

Given numbers are 698, 652, 560, 464

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

Apply this formula for all numbers.

Step1:

LCM(698, 652) = 227548

GCD(698, 652) = ( 698 x 652 ) / 227548

= 698 / 652

= 698

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 464) = 464

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

= 2 / 464

= 2

So, Greatest Common Divisor of 698, 652, 560, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 565, 784, 598
• GCD of 423, 799, 842, 228
• GCD of 194, 616, 804, 533
• GCD of 433, 464, 600, 431
• GCD of 865, 179, 973, 931

Given numbers are 698, 652, 560, 464
The greatest common divisor of numbers 698, 652, 560, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 652, 560, 464 is 2.

1. What is the GCD of 698, 652, 560, 464?

GCD of given numbers 698, 652, 560, 464 is 2

2. How to calculate the greatest common divisor of 698, 652, 560, 464?

We can find the highest common divisor of 698, 652, 560, 464 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 698, 652, 560, 464 i.e 2.

3. How can I use the GCD of 698, 652, 560, 464Calculator?

Out the numbers 698, 652, 560, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.