GCD of 704, 489, 140, 114 Calculator

Given Input numbers are 704, 489, 140, 114

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (704, 489, 140, 114) = 1.

Given numbers are 704, 489, 140, 114

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 489 are 3 x 163

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 704, 489, 140, 114

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

Apply this formula for all numbers.

Step1:

LCM(704, 489) = 344256

GCD(704, 489) = ( 704 x 489 ) / 344256

= 704 / 489

= 704

Step2:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 704, 489, 140, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 415, 272, 581
• GCD of 482, 705, 567, 789
• GCD of 242, 333, 676, 563
• GCD of 124, 926, 796, 261
• GCD of 700, 160, 849, 838

Given numbers are 704, 489, 140, 114
The greatest common divisor of numbers 704, 489, 140, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 489, 140, 114 is 1.

1. What is the GCD of 704, 489, 140, 114?

GCD of given numbers 704, 489, 140, 114 is 1

2. How to calculate the greatest common divisor of 704, 489, 140, 114?

We can find the highest common divisor of 704, 489, 140, 114 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, 489, 140, 114 i.e 1.

3. How can I use the GCD of 704, 489, 140, 114Calculator?

Out the numbers 704, 489, 140, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.