GCD of 208, 707, 742, 507 Calculator

Given Input numbers are 208, 707, 742, 507

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (208, 707, 742, 507) = 1.

Given numbers are 208, 707, 742, 507

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 707 are 7 x 101

Prime factors of 742 are 2 x 7 x 53

Prime factors of 507 are 3 x 13 x 13

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

Given numbers are 208, 707, 742, 507

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

Apply this formula for all numbers.

Step1:

LCM(208, 707) = 147056

GCD(208, 707) = ( 208 x 707 ) / 147056

= 208 / 707

= 208

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1

So, Greatest Common Divisor of 208, 707, 742, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 830, 307, 984
• GCD of 829, 713, 689, 449
• GCD of 496, 703, 747, 107
• GCD of 162, 537, 698, 743
• GCD of 804, 291, 136, 349

Given numbers are 208, 707, 742, 507
The greatest common divisor of numbers 208, 707, 742, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 707, 742, 507 is 1.

1. What is the GCD of 208, 707, 742, 507?

GCD of given numbers 208, 707, 742, 507 is 1

2. How to calculate the greatest common divisor of 208, 707, 742, 507?

We can find the highest common divisor of 208, 707, 742, 507 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 208, 707, 742, 507 i.e 1.

3. How can I use the GCD of 208, 707, 742, 507Calculator?

Out the numbers 208, 707, 742, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.