GCD of 742, 741, 471, 760 Calculator

Given Input numbers are 742, 741, 471, 760

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (742, 741, 471, 760) = 1.

Given numbers are 742, 741, 471, 760

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 741 are 3 x 13 x 19

Prime factors of 471 are 3 x 157

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 742, 741, 471, 760

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

Apply this formula for all numbers.

Step1:

LCM(742, 741) = 549822

GCD(742, 741) = ( 742 x 741 ) / 549822

= 742 / 741

= 742

Step2:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 742, 741, 471, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 286, 608, 788
• GCD of 989, 222, 505, 977
• GCD of 451, 869, 888, 555
• GCD of 756, 597, 212, 387
• GCD of 973, 524, 310, 455

Given numbers are 742, 741, 471, 760
The greatest common divisor of numbers 742, 741, 471, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 741, 471, 760 is 1.

1. What is the GCD of 742, 741, 471, 760?

GCD of given numbers 742, 741, 471, 760 is 1

2. How to calculate the greatest common divisor of 742, 741, 471, 760?

We can find the highest common divisor of 742, 741, 471, 760 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, 741, 471, 760 i.e 1.

3. How can I use the GCD of 742, 741, 471, 760Calculator?

Out the numbers 742, 741, 471, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.