GCD of 784, 704, 870, 280 Calculator

Given Input numbers are 784, 704, 870, 280

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

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (784, 704, 870, 280) = 2.

Given numbers are 784, 704, 870, 280

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 784, 704, 870, 280 is 2.

Given numbers are 784, 704, 870, 280

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

Apply this formula for all numbers.

Step1:

LCM(784, 704) = 34496

GCD(784, 704) = ( 784 x 704 ) / 34496

= 784 / 704

= 784

Step2:

LCM(16, 870) = 6960

GCD(16, 870) = ( 16 x 870 ) / 6960

= 16 / 870

= 16

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 784, 704, 870, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 304, 690, 167
• GCD of 951, 789, 824, 202
• GCD of 871, 784, 229, 785
• GCD of 242, 882, 753, 575
• GCD of 890, 781, 946, 803

Given numbers are 784, 704, 870, 280
The greatest common divisor of numbers 784, 704, 870, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 704, 870, 280 is 2.

1. What is the GCD of 784, 704, 870, 280?

GCD of given numbers 784, 704, 870, 280 is 2

2. How to calculate the greatest common divisor of 784, 704, 870, 280?

We can find the highest common divisor of 784, 704, 870, 280 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 784, 704, 870, 280 i.e 2.

3. How can I use the GCD of 784, 704, 870, 280Calculator?

Out the numbers 784, 704, 870, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.