GCD of 560, 379, 67, 278 Calculator

Given Input numbers are 560, 379, 67, 278

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

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 560, 379, 67, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 379, 67, 278 is 1.

Therefore, GCD of numbers 560, 379, 67, 278 is 1

Given Input Data is 560, 379, 67, 278

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

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

Prime Factorization of 379 is 379

Prime Factorization of 67 is 67

Prime Factorization of 278 is 2 x 139

The above numbers do not have any common prime factor. So GCD is 1

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(560, 379) = 212240

GCD(560, 379) = ( 560 x 379 ) / 212240

GCD(560, 379) = 212240 / 212240

GCD(560, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 560, 379, 67, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 156, 66, 690
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• GCD of 718, 545, 71, 713
• GCD of 526, 848, 16, 599
• GCD of 740, 427, 48, 445

1. What is the GCD of 560, 379, 67, 278?

GCD of 560, 379, 67, 278 is 1

2. Where do I get the detailed procedure to find GCD of 560, 379, 67, 278?

You can find a detailed procedure to find GCD of 560, 379, 67, 278 on our page.

3. How to find GCD of 560, 379, 67, 278 on a calculator?

You can find the GCD of 560, 379, 67, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.