GCD of 784, 147, 77, 680 Calculator

Given Input numbers are 784, 147, 77, 680

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (784, 147, 77, 680) = 1.

Given numbers are 784, 147, 77, 680

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 147 are 3 x 7 x 7

Prime factors of 77 are 7 x 11

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 784, 147, 77, 680

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

Apply this formula for all numbers.

Step1:

LCM(784, 147) = 2352

GCD(784, 147) = ( 784 x 147 ) / 2352

= 784 / 147

= 784

Step2:

LCM(49, 77) = 539

GCD(49, 77) = ( 49 x 77 ) / 539

= 49 / 77

= 49

Step3:

LCM(7, 680) = 4760

GCD(7, 680) = ( 7 x 680 ) / 4760

= 7 / 680

= 7

So, Greatest Common Divisor of 784, 147, 77, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 357, 77, 884
• GCD of 938, 598, 17, 545
• GCD of 338, 693, 14, 150
• GCD of 849, 742, 73, 312
• GCD of 720, 483, 37, 189

Given numbers are 784, 147, 77, 680
The greatest common divisor of numbers 784, 147, 77, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 147, 77, 680 is 1.

1. What is the GCD of 784, 147, 77, 680?

GCD of given numbers 784, 147, 77, 680 is 1

2. How to calculate the greatest common divisor of 784, 147, 77, 680?

We can find the highest common divisor of 784, 147, 77, 680 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, 147, 77, 680 i.e 1.

3. How can I use the GCD of 784, 147, 77, 680Calculator?

Out the numbers 784, 147, 77, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.