GCD of 742, 765, 253, 917 Calculator

Given Input numbers are 742, 765, 253, 917

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (742, 765, 253, 917) = 1.

Given numbers are 742, 765, 253, 917

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 253 are 11 x 23

Prime factors of 917 are 7 x 131

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

Given numbers are 742, 765, 253, 917

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

Apply this formula for all numbers.

Step1:

LCM(742, 765) = 567630

GCD(742, 765) = ( 742 x 765 ) / 567630

= 742 / 765

= 742

Step2:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

So, Greatest Common Divisor of 742, 765, 253, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 357, 385, 111
• GCD of 735, 717, 710, 175
• GCD of 654, 615, 327, 624
• GCD of 553, 875, 863, 686
• GCD of 175, 201, 197, 584

Given numbers are 742, 765, 253, 917
The greatest common divisor of numbers 742, 765, 253, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 765, 253, 917 is 1.

1. What is the GCD of 742, 765, 253, 917?

GCD of given numbers 742, 765, 253, 917 is 1

2. How to calculate the greatest common divisor of 742, 765, 253, 917?

We can find the highest common divisor of 742, 765, 253, 917 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, 765, 253, 917 i.e 1.

3. How can I use the GCD of 742, 765, 253, 917Calculator?

Out the numbers 742, 765, 253, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.