GCD of 964, 560, 342, 840 Calculator

Given Input numbers are 964, 560, 342, 840

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 964, 560, 342, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 560, 342, 840 is 2.

Therefore, GCD of numbers 964, 560, 342, 840 is 2

Given Input Data is 964, 560, 342, 840

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(964, 560) = 134960

GCD(964, 560) = ( 964 x 560 ) / 134960

GCD(964, 560) = 539840 / 134960

GCD(964, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 342

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

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

GCD(4, 342) = 1368 / 684

GCD(4, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 964, 560, 342, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 543, 823, 269
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• GCD of 482, 740, 822, 135

1. What is the GCD of 964, 560, 342, 840?

GCD of 964, 560, 342, 840 is 2

2. Where do I get the detailed procedure to find GCD of 964, 560, 342, 840?

You can find a detailed procedure to find GCD of 964, 560, 342, 840 on our page.

3. How to find GCD of 964, 560, 342, 840 on a calculator?

You can find the GCD of 964, 560, 342, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.