GCD of 748, 358, 677, 548 Calculator

Given Input numbers are 748, 358, 677, 548

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (748, 358, 677, 548) = 1.

Given numbers are 748, 358, 677, 548

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 358 are 2 x 179

Prime factors of 677 are 677

Prime factors of 548 are 2 x 2 x 137

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

Given numbers are 748, 358, 677, 548

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

Apply this formula for all numbers.

Step1:

LCM(748, 358) = 133892

GCD(748, 358) = ( 748 x 358 ) / 133892

= 748 / 358

= 748

Step2:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2

Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

So, Greatest Common Divisor of 748, 358, 677, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 443, 256, 694
• GCD of 440, 671, 137, 964
• GCD of 830, 389, 440, 519
• GCD of 842, 564, 106, 475
• GCD of 942, 553, 907, 272

Given numbers are 748, 358, 677, 548
The greatest common divisor of numbers 748, 358, 677, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 358, 677, 548 is 1.

1. What is the GCD of 748, 358, 677, 548?

GCD of given numbers 748, 358, 677, 548 is 1

2. How to calculate the greatest common divisor of 748, 358, 677, 548?

We can find the highest common divisor of 748, 358, 677, 548 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 748, 358, 677, 548 i.e 1.

3. How can I use the GCD of 748, 358, 677, 548Calculator?

Out the numbers 748, 358, 677, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.