GCD of 780, 156, 735, 807 Calculator

Given Input numbers are 780, 156, 735, 807

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (780, 156, 735, 807) = 3.

Given numbers are 780, 156, 735, 807

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 780, 156, 735, 807 is 3.

Given numbers are 780, 156, 735, 807

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

Apply this formula for all numbers.

Step1:

LCM(780, 156) = 780

GCD(780, 156) = ( 780 x 156 ) / 780

= 780 / 156

= 780

Step2:

LCM(156, 735) = 38220

GCD(156, 735) = ( 156 x 735 ) / 38220

= 156 / 735

= 156

Step3:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

So, Greatest Common Divisor of 780, 156, 735, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 764, 500, 121
• GCD of 558, 174, 947, 634
• GCD of 613, 205, 672, 678
• GCD of 987, 210, 112, 802
• GCD of 161, 787, 404, 147

Given numbers are 780, 156, 735, 807
The greatest common divisor of numbers 780, 156, 735, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 156, 735, 807 is 3.

1. What is the GCD of 780, 156, 735, 807?

GCD of given numbers 780, 156, 735, 807 is 3

2. How to calculate the greatest common divisor of 780, 156, 735, 807?

We can find the highest common divisor of 780, 156, 735, 807 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 780, 156, 735, 807 i.e 3.

3. How can I use the GCD of 780, 156, 735, 807Calculator?

Out the numbers 780, 156, 735, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.