GCD of 802, 769, 705, 420 Calculator

Given Input numbers are 802, 769, 705, 420

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (802, 769, 705, 420) = 1.

Given numbers are 802, 769, 705, 420

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 769 are 769

Prime factors of 705 are 3 x 5 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 802, 769, 705, 420

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

Apply this formula for all numbers.

Step1:

LCM(802, 769) = 616738

GCD(802, 769) = ( 802 x 769 ) / 616738

= 802 / 769

= 802

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 802, 769, 705, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 490, 869, 959
• GCD of 992, 127, 868, 351
• GCD of 369, 125, 882, 414
• GCD of 940, 717, 466, 974
• GCD of 871, 315, 562, 133

Given numbers are 802, 769, 705, 420
The greatest common divisor of numbers 802, 769, 705, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 769, 705, 420 is 1.

1. What is the GCD of 802, 769, 705, 420?

GCD of given numbers 802, 769, 705, 420 is 1

2. How to calculate the greatest common divisor of 802, 769, 705, 420?

We can find the highest common divisor of 802, 769, 705, 420 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 802, 769, 705, 420 i.e 1.

3. How can I use the GCD of 802, 769, 705, 420Calculator?

Out the numbers 802, 769, 705, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.