GCD of 742, 202, 780, 849 Calculator

Given Input numbers are 742, 202, 780, 849

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (742, 202, 780, 849) = 1.

Given numbers are 742, 202, 780, 849

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 202 are 2 x 101

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

Prime factors of 849 are 3 x 283

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

Given numbers are 742, 202, 780, 849

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

Apply this formula for all numbers.

Step1:

LCM(742, 202) = 74942

GCD(742, 202) = ( 742 x 202 ) / 74942

= 742 / 202

= 742

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

So, Greatest Common Divisor of 742, 202, 780, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 146, 977, 527
• GCD of 234, 845, 976, 484
• GCD of 914, 720, 194, 544
• GCD of 321, 590, 716, 638
• GCD of 617, 585, 200, 896

Given numbers are 742, 202, 780, 849
The greatest common divisor of numbers 742, 202, 780, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 202, 780, 849 is 1.

1. What is the GCD of 742, 202, 780, 849?

GCD of given numbers 742, 202, 780, 849 is 1

2. How to calculate the greatest common divisor of 742, 202, 780, 849?

We can find the highest common divisor of 742, 202, 780, 849 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 742, 202, 780, 849 i.e 1.

3. How can I use the GCD of 742, 202, 780, 849Calculator?

Out the numbers 742, 202, 780, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.