GCD of 755, 780, 742, 175 Calculator

Given Input numbers are 755, 780, 742, 175

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

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 742 :

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

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (755, 780, 742, 175) = 1.

Given numbers are 755, 780, 742, 175

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 755, 780, 742, 175

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

Apply this formula for all numbers.

Step1:

LCM(755, 780) = 117780

GCD(755, 780) = ( 755 x 780 ) / 117780

= 755 / 780

= 755

Step2:

LCM(5, 742) = 3710

GCD(5, 742) = ( 5 x 742 ) / 3710

= 5 / 742

= 5

Step3:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

So, Greatest Common Divisor of 755, 780, 742, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 248, 933, 888
• GCD of 252, 471, 116, 269
• GCD of 565, 138, 144, 268
• GCD of 258, 967, 484, 625
• GCD of 318, 721, 265, 546

Given numbers are 755, 780, 742, 175
The greatest common divisor of numbers 755, 780, 742, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 780, 742, 175 is 1.

1. What is the GCD of 755, 780, 742, 175?

GCD of given numbers 755, 780, 742, 175 is 1

2. How to calculate the greatest common divisor of 755, 780, 742, 175?

We can find the highest common divisor of 755, 780, 742, 175 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 755, 780, 742, 175 i.e 1.

3. How can I use the GCD of 755, 780, 742, 175Calculator?

Out the numbers 755, 780, 742, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.