GCD of 267, 714, 516, 840 Calculator

Given Input numbers are 267, 714, 516, 840

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 (267, 714, 516, 840) = 3.

Given numbers are 267, 714, 516, 840

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 516 are 2 x 2 x 3 x 43

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

The highest common occurrence is 3¹

Therefore, GCD of 267, 714, 516, 840 is 3.

Given numbers are 267, 714, 516, 840

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

Apply this formula for all numbers.

Step1:

LCM(267, 714) = 63546

GCD(267, 714) = ( 267 x 714 ) / 63546

= 267 / 714

= 267

Step2:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

Step3:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

So, Greatest Common Divisor of 267, 714, 516, 840 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 323, 825, 624
• GCD of 512, 928, 965, 892
• GCD of 950, 585, 623, 468
• GCD of 602, 475, 713, 397
• GCD of 301, 493, 694, 651

Given numbers are 267, 714, 516, 840
The greatest common divisor of numbers 267, 714, 516, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 714, 516, 840 is 3.

1. What is the GCD of 267, 714, 516, 840?

GCD of given numbers 267, 714, 516, 840 is 3

2. How to calculate the greatest common divisor of 267, 714, 516, 840?

We can find the highest common divisor of 267, 714, 516, 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 267, 714, 516, 840 i.e 3.

3. How can I use the GCD of 267, 714, 516, 840Calculator?

Out the numbers 267, 714, 516, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.