GCD of 300, 686, 10, 140 Calculator

Given Input numbers are 300, 686, 10, 140

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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

GCD of numbers is the greatest common divisor

So, the GCD (300, 686, 10, 140) = 2.

Given numbers are 300, 686, 10, 140

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 10 are 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 300, 686, 10, 140 is 2.

Given numbers are 300, 686, 10, 140

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

Apply this formula for all numbers.

Step1:

LCM(300, 686) = 102900

GCD(300, 686) = ( 300 x 686 ) / 102900

= 300 / 686

= 300

Step2:

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

= 2 / 10

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 300, 686, 10, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 680, 51, 858
• GCD of 116, 144, 78, 902
• GCD of 877, 361, 62, 591
• GCD of 380, 213, 18, 592
• GCD of 522, 963, 69, 434

Given numbers are 300, 686, 10, 140
The greatest common divisor of numbers 300, 686, 10, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 686, 10, 140 is 2.

1. What is the GCD of 300, 686, 10, 140?

GCD of given numbers 300, 686, 10, 140 is 2

2. How to calculate the greatest common divisor of 300, 686, 10, 140?

We can find the highest common divisor of 300, 686, 10, 140 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 300, 686, 10, 140 i.e 2.

3. How can I use the GCD of 300, 686, 10, 140Calculator?

Out the numbers 300, 686, 10, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.