GCD of 742, 749, 139, 258 Calculator

Given Input numbers are 742, 749, 139, 258

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 749 :

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

1, 7, 107, 749

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (742, 749, 139, 258) = 1.

Given numbers are 742, 749, 139, 258

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 749 are 7 x 107

Prime factors of 139 are 139

Prime factors of 258 are 2 x 3 x 43

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

Given numbers are 742, 749, 139, 258

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

Apply this formula for all numbers.

Step1:

LCM(742, 749) = 79394

GCD(742, 749) = ( 742 x 749 ) / 79394

= 742 / 749

= 742

Step2:

LCM(7, 139) = 973

GCD(7, 139) = ( 7 x 139 ) / 973

= 7 / 139

= 7

Step3:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1

So, Greatest Common Divisor of 742, 749, 139, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 937, 833, 132
• GCD of 506, 623, 567, 514
• GCD of 373, 838, 748, 881
• GCD of 914, 777, 286, 856
• GCD of 801, 704, 483, 745

Given numbers are 742, 749, 139, 258
The greatest common divisor of numbers 742, 749, 139, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 749, 139, 258 is 1.

1. What is the GCD of 742, 749, 139, 258?

GCD of given numbers 742, 749, 139, 258 is 1

2. How to calculate the greatest common divisor of 742, 749, 139, 258?

We can find the highest common divisor of 742, 749, 139, 258 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, 749, 139, 258 i.e 1.

3. How can I use the GCD of 742, 749, 139, 258Calculator?

Out the numbers 742, 749, 139, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.