GCD of 46, 560, 976, 274 Calculator

Given Input numbers are 46, 560, 976, 274

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 46, 560, 976, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 560, 976, 274 is 2.

Therefore, GCD of numbers 46, 560, 976, 274 is 2

Given Input Data is 46, 560, 976, 274

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

Prime Factorization of 46 is 2 x 23

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 274 is 2 x 137

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(46, 560) = 12880

GCD(46, 560) = ( 46 x 560 ) / 12880

GCD(46, 560) = 25760 / 12880

GCD(46, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

GCD of 46, 560, 976, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 215, 746, 381
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• GCD of 25, 785, 343, 483
• GCD of 40, 415, 777, 884
• GCD of 61, 711, 738, 381

1. What is the GCD of 46, 560, 976, 274?

GCD of 46, 560, 976, 274 is 2

2. Where do I get the detailed procedure to find GCD of 46, 560, 976, 274?

You can find a detailed procedure to find GCD of 46, 560, 976, 274 on our page.

3. How to find GCD of 46, 560, 976, 274 on a calculator?

You can find the GCD of 46, 560, 976, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.