GCD of 692, 148, 780, 738 Calculator

Given Input numbers are 692, 148, 780, 738

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (692, 148, 780, 738) = 2.

Given numbers are 692, 148, 780, 738

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 148 are 2 x 2 x 37

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 692, 148, 780, 738 is 2.

Given numbers are 692, 148, 780, 738

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

Apply this formula for all numbers.

Step1:

LCM(692, 148) = 25604

GCD(692, 148) = ( 692 x 148 ) / 25604

= 692 / 148

= 692

Step2:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

So, Greatest Common Divisor of 692, 148, 780, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 688, 952, 858
• GCD of 352, 381, 196, 139
• GCD of 870, 983, 268, 991
• GCD of 319, 838, 224, 583
• GCD of 253, 577, 153, 587

Given numbers are 692, 148, 780, 738
The greatest common divisor of numbers 692, 148, 780, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 148, 780, 738 is 2.

1. What is the GCD of 692, 148, 780, 738?

GCD of given numbers 692, 148, 780, 738 is 2

2. How to calculate the greatest common divisor of 692, 148, 780, 738?

We can find the highest common divisor of 692, 148, 780, 738 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 692, 148, 780, 738 i.e 2.

3. How can I use the GCD of 692, 148, 780, 738Calculator?

Out the numbers 692, 148, 780, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.