GCD of 470, 300, 948, 560 Calculator

Given Input numbers are 470, 300, 948, 560

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 (470, 300, 948, 560) = 2.

Given numbers are 470, 300, 948, 560

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 948 are 2 x 2 x 3 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 470, 300, 948, 560 is 2.

Given numbers are 470, 300, 948, 560

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

Apply this formula for all numbers.

Step1:

LCM(470, 300) = 14100

GCD(470, 300) = ( 470 x 300 ) / 14100

= 470 / 300

= 470

Step2:

LCM(10, 948) = 4740

GCD(10, 948) = ( 10 x 948 ) / 4740

= 10 / 948

= 10

Step3:

LCM(2, 560) = 560

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

= 2 / 560

= 2

So, Greatest Common Divisor of 470, 300, 948, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 243, 229, 929
• GCD of 147, 386, 824, 597
• GCD of 962, 340, 685, 173
• GCD of 955, 446, 575, 489
• GCD of 117, 114, 137, 541

Given numbers are 470, 300, 948, 560
The greatest common divisor of numbers 470, 300, 948, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 300, 948, 560 is 2.

1. What is the GCD of 470, 300, 948, 560?

GCD of given numbers 470, 300, 948, 560 is 2

2. How to calculate the greatest common divisor of 470, 300, 948, 560?

We can find the highest common divisor of 470, 300, 948, 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 470, 300, 948, 560 i.e 2.

3. How can I use the GCD of 470, 300, 948, 560Calculator?

Out the numbers 470, 300, 948, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.