GCD of 840, 777, 516, 135 Calculator

Given Input numbers are 840, 777, 516, 135

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

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

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (840, 777, 516, 135) = 3.

Given numbers are 840, 777, 516, 135

The list of prime factors of all numbers are

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

Prime factors of 777 are 3 x 7 x 37

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

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 840, 777, 516, 135 is 3.

Given numbers are 840, 777, 516, 135

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

Apply this formula for all numbers.

Step1:

LCM(840, 777) = 31080

GCD(840, 777) = ( 840 x 777 ) / 31080

= 840 / 777

= 840

Step2:

LCM(21, 516) = 3612

GCD(21, 516) = ( 21 x 516 ) / 3612

= 21 / 516

= 21

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 840, 777, 516, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 882, 802, 855
• GCD of 437, 429, 673, 672
• GCD of 970, 646, 966, 944
• GCD of 379, 842, 239, 364
• GCD of 364, 254, 336, 204

Given numbers are 840, 777, 516, 135
The greatest common divisor of numbers 840, 777, 516, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 777, 516, 135 is 3.

1. What is the GCD of 840, 777, 516, 135?

GCD of given numbers 840, 777, 516, 135 is 3

2. How to calculate the greatest common divisor of 840, 777, 516, 135?

We can find the highest common divisor of 840, 777, 516, 135 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 840, 777, 516, 135 i.e 3.

3. How can I use the GCD of 840, 777, 516, 135Calculator?

Out the numbers 840, 777, 516, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.