GCD of 770, 784, 770, 316 Calculator

Given Input numbers are 770, 784, 770, 316

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (770, 784, 770, 316) = 2.

Given numbers are 770, 784, 770, 316

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

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

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 770, 784, 770, 316 is 2.

Given numbers are 770, 784, 770, 316

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

Apply this formula for all numbers.

Step1:

LCM(770, 784) = 43120

GCD(770, 784) = ( 770 x 784 ) / 43120

= 770 / 784

= 770

Step2:

LCM(14, 770) = 770

GCD(14, 770) = ( 14 x 770 ) / 770

= 14 / 770

= 14

Step3:

LCM(14, 316) = 2212

GCD(14, 316) = ( 14 x 316 ) / 2212

= 14 / 316

= 14

So, Greatest Common Divisor of 770, 784, 770, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 926, 307, 786
• GCD of 696, 261, 621, 185
• GCD of 405, 291, 498, 447
• GCD of 280, 638, 321, 780
• GCD of 943, 914, 992, 231

Given numbers are 770, 784, 770, 316
The greatest common divisor of numbers 770, 784, 770, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 784, 770, 316 is 2.

1. What is the GCD of 770, 784, 770, 316?

GCD of given numbers 770, 784, 770, 316 is 2

2. How to calculate the greatest common divisor of 770, 784, 770, 316?

We can find the highest common divisor of 770, 784, 770, 316 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 770, 784, 770, 316 i.e 2.

3. How can I use the GCD of 770, 784, 770, 316Calculator?

Out the numbers 770, 784, 770, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.