GCD of 749, 960, 291, 135 Calculator

Given Input numbers are 749, 960, 291, 135

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (749, 960, 291, 135) = 1.

Given numbers are 749, 960, 291, 135

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 291 are 3 x 97

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 749, 960, 291, 135

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

Apply this formula for all numbers.

Step1:

LCM(749, 960) = 719040

GCD(749, 960) = ( 749 x 960 ) / 719040

= 749 / 960

= 749

Step2:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 749, 960, 291, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 906, 963, 210
• GCD of 538, 191, 647, 918
• GCD of 567, 393, 270, 304
• GCD of 121, 276, 348, 716
• GCD of 929, 820, 297, 944

Given numbers are 749, 960, 291, 135
The greatest common divisor of numbers 749, 960, 291, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 960, 291, 135 is 1.

1. What is the GCD of 749, 960, 291, 135?

GCD of given numbers 749, 960, 291, 135 is 1

2. How to calculate the greatest common divisor of 749, 960, 291, 135?

We can find the highest common divisor of 749, 960, 291, 135 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 749, 960, 291, 135 i.e 1.

3. How can I use the GCD of 749, 960, 291, 135Calculator?

Out the numbers 749, 960, 291, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.