GCD of 560, 784, 271, 870 Calculator

Given Input numbers are 560, 784, 271, 870

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

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (560, 784, 271, 870) = 1.

Given numbers are 560, 784, 271, 870

The list of prime factors of all numbers are

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 271 are 271

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 560, 784, 271, 870

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

Apply this formula for all numbers.

Step1:

LCM(560, 784) = 3920

GCD(560, 784) = ( 560 x 784 ) / 3920

= 560 / 784

= 560

Step2:

LCM(112, 271) = 30352

GCD(112, 271) = ( 112 x 271 ) / 30352

= 112 / 271

= 112

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 560, 784, 271, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 840, 292, 372
• GCD of 739, 794, 248, 126
• GCD of 926, 319, 607, 625
• GCD of 746, 655, 714, 165
• GCD of 534, 562, 955, 991

Given numbers are 560, 784, 271, 870
The greatest common divisor of numbers 560, 784, 271, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 784, 271, 870 is 1.

1. What is the GCD of 560, 784, 271, 870?

GCD of given numbers 560, 784, 271, 870 is 1

2. How to calculate the greatest common divisor of 560, 784, 271, 870?

We can find the highest common divisor of 560, 784, 271, 870 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 560, 784, 271, 870 i.e 1.

3. How can I use the GCD of 560, 784, 271, 870Calculator?

Out the numbers 560, 784, 271, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.