GCD of 742, 357, 743, 827 Calculator

Given Input numbers are 742, 357, 743, 827

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (742, 357, 743, 827) = 1.

Given numbers are 742, 357, 743, 827

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 357 are 3 x 7 x 17

Prime factors of 743 are 743

Prime factors of 827 are 827

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

Given numbers are 742, 357, 743, 827

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

Apply this formula for all numbers.

Step1:

LCM(742, 357) = 37842

GCD(742, 357) = ( 742 x 357 ) / 37842

= 742 / 357

= 742

Step2:

LCM(7, 743) = 5201

GCD(7, 743) = ( 7 x 743 ) / 5201

= 7 / 743

= 7

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 742, 357, 743, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 363, 582, 386
• GCD of 118, 486, 366, 528
• GCD of 977, 564, 186, 662
• GCD of 313, 901, 778, 667
• GCD of 687, 600, 286, 666

Given numbers are 742, 357, 743, 827
The greatest common divisor of numbers 742, 357, 743, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 357, 743, 827 is 1.

1. What is the GCD of 742, 357, 743, 827?

GCD of given numbers 742, 357, 743, 827 is 1

2. How to calculate the greatest common divisor of 742, 357, 743, 827?

We can find the highest common divisor of 742, 357, 743, 827 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, 357, 743, 827 i.e 1.

3. How can I use the GCD of 742, 357, 743, 827Calculator?

Out the numbers 742, 357, 743, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.