GCD of 494, 141, 802, 687 Calculator

Given Input numbers are 494, 141, 802, 687

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (494, 141, 802, 687) = 1.

Given numbers are 494, 141, 802, 687

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 141 are 3 x 47

Prime factors of 802 are 2 x 401

Prime factors of 687 are 3 x 229

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

Given numbers are 494, 141, 802, 687

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

Apply this formula for all numbers.

Step1:

LCM(494, 141) = 69654

GCD(494, 141) = ( 494 x 141 ) / 69654

= 494 / 141

= 494

Step2:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 494, 141, 802, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 642, 958, 342
• GCD of 347, 825, 896, 237
• GCD of 409, 857, 200, 282
• GCD of 979, 259, 382, 356
• GCD of 454, 897, 130, 163

Given numbers are 494, 141, 802, 687
The greatest common divisor of numbers 494, 141, 802, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 141, 802, 687 is 1.

1. What is the GCD of 494, 141, 802, 687?

GCD of given numbers 494, 141, 802, 687 is 1

2. How to calculate the greatest common divisor of 494, 141, 802, 687?

We can find the highest common divisor of 494, 141, 802, 687 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 494, 141, 802, 687 i.e 1.

3. How can I use the GCD of 494, 141, 802, 687Calculator?

Out the numbers 494, 141, 802, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.