GCD of 210, 124, 268, 840 Calculator

Given Input numbers are 210, 124, 268, 840

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (210, 124, 268, 840) = 2.

Given numbers are 210, 124, 268, 840

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 124 are 2 x 2 x 31

Prime factors of 268 are 2 x 2 x 67

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 210, 124, 268, 840 is 2.

Given numbers are 210, 124, 268, 840

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

Apply this formula for all numbers.

Step1:

LCM(210, 124) = 13020

GCD(210, 124) = ( 210 x 124 ) / 13020

= 210 / 124

= 210

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 210, 124, 268, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 366, 966, 802
• GCD of 722, 951, 819, 393
• GCD of 265, 642, 620, 151
• GCD of 264, 267, 459, 617
• GCD of 973, 769, 178, 487

Given numbers are 210, 124, 268, 840
The greatest common divisor of numbers 210, 124, 268, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 124, 268, 840 is 2.

1. What is the GCD of 210, 124, 268, 840?

GCD of given numbers 210, 124, 268, 840 is 2

2. How to calculate the greatest common divisor of 210, 124, 268, 840?

We can find the highest common divisor of 210, 124, 268, 840 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 210, 124, 268, 840 i.e 2.

3. How can I use the GCD of 210, 124, 268, 840Calculator?

Out the numbers 210, 124, 268, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.