GCD of 704, 852, 677, 119 Calculator

Given Input numbers are 704, 852, 677, 119

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

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (704, 852, 677, 119) = 1.

Given numbers are 704, 852, 677, 119

The list of prime factors of all numbers are

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 677 are 677

Prime factors of 119 are 7 x 17

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

Given numbers are 704, 852, 677, 119

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

Apply this formula for all numbers.

Step1:

LCM(704, 852) = 149952

GCD(704, 852) = ( 704 x 852 ) / 149952

= 704 / 852

= 704

Step2:

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

= 4 / 677

= 4

Step3:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1

So, Greatest Common Divisor of 704, 852, 677, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 361, 346, 861
• GCD of 646, 428, 207, 824
• GCD of 492, 170, 583, 491
• GCD of 663, 782, 313, 310
• GCD of 509, 668, 186, 304

Given numbers are 704, 852, 677, 119
The greatest common divisor of numbers 704, 852, 677, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 852, 677, 119 is 1.

1. What is the GCD of 704, 852, 677, 119?

GCD of given numbers 704, 852, 677, 119 is 1

2. How to calculate the greatest common divisor of 704, 852, 677, 119?

We can find the highest common divisor of 704, 852, 677, 119 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 704, 852, 677, 119 i.e 1.

3. How can I use the GCD of 704, 852, 677, 119Calculator?

Out the numbers 704, 852, 677, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.