GCD of 742, 704, 542, 641 Calculator

Given Input numbers are 742, 704, 542, 641

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 641 :

The positive integer divisors of 641 that completely divides 641 are.

1, 641

GCD of numbers is the greatest common divisor

So, the GCD (742, 704, 542, 641) = 1.

Given numbers are 742, 704, 542, 641

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 542 are 2 x 271

Prime factors of 641 are 641

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

Given numbers are 742, 704, 542, 641

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

Apply this formula for all numbers.

Step1:

LCM(742, 704) = 261184

GCD(742, 704) = ( 742 x 704 ) / 261184

= 742 / 704

= 742

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 641) = 1282

GCD(2, 641) = ( 2 x 641 ) / 1282

= 2 / 641

= 2

So, Greatest Common Divisor of 742, 704, 542, 641 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 450, 353, 258
• GCD of 938, 172, 148, 732
• GCD of 296, 878, 503, 119
• GCD of 639, 904, 291, 995
• GCD of 466, 543, 409, 599

Given numbers are 742, 704, 542, 641
The greatest common divisor of numbers 742, 704, 542, 641 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 704, 542, 641 is 1.

1. What is the GCD of 742, 704, 542, 641?

GCD of given numbers 742, 704, 542, 641 is 1

2. How to calculate the greatest common divisor of 742, 704, 542, 641?

We can find the highest common divisor of 742, 704, 542, 641 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, 704, 542, 641 i.e 1.

3. How can I use the GCD of 742, 704, 542, 641Calculator?

Out the numbers 742, 704, 542, 641 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.