GCD of 462, 847, 560 Calculator

Given Input numbers are 462, 847, 560

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 847, 560) = 7.

Given numbers are 462, 847, 560

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 847 are 7 x 11 x 11

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

The highest common occurrence is 7¹

Therefore, GCD of 462, 847, 560 is 7.

Given numbers are 462, 847, 560

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

Apply this formula for all numbers.

Step1:

LCM(462, 847) = 5082

GCD(462, 847) = ( 462 x 847 ) / 5082

= 462 / 847

= 462

Step2:

LCM(77, 560) = 6160

GCD(77, 560) = ( 77 x 560 ) / 6160

= 77 / 560

= 77

So, Greatest Common Divisor of 462, 847, 560 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 452, 613
• GCD of 669, 808, 908
• GCD of 224, 171, 533
• GCD of 644, 272, 601
• GCD of 197, 557, 350

Given numbers are 462, 847, 560
The greatest common divisor of numbers 462, 847, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 847, 560 is 7.

1. What is the GCD of 462, 847, 560?

GCD of given numbers 462, 847, 560 is 7

2. How to calculate the greatest common divisor of 462, 847, 560?

We can find the highest common divisor of 462, 847, 560 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 462, 847, 560 i.e 7.

3. How can I use the GCD of 462, 847, 560Calculator?

Out the numbers 462, 847, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.