GCD of 738, 492, 248, 698 Calculator

Given Input numbers are 738, 492, 248, 698

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

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (738, 492, 248, 698) = 2.

Given numbers are 738, 492, 248, 698

The list of prime factors of all numbers are

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 738, 492, 248, 698 is 2.

Given numbers are 738, 492, 248, 698

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

Apply this formula for all numbers.

Step1:

LCM(738, 492) = 1476

GCD(738, 492) = ( 738 x 492 ) / 1476

= 738 / 492

= 738

Step2:

LCM(246, 248) = 30504

GCD(246, 248) = ( 246 x 248 ) / 30504

= 246 / 248

= 246

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 738, 492, 248, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 627, 742, 337
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• GCD of 713, 221, 605, 876

Given numbers are 738, 492, 248, 698
The greatest common divisor of numbers 738, 492, 248, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 492, 248, 698 is 2.

1. What is the GCD of 738, 492, 248, 698?

GCD of given numbers 738, 492, 248, 698 is 2

2. How to calculate the greatest common divisor of 738, 492, 248, 698?

We can find the highest common divisor of 738, 492, 248, 698 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 738, 492, 248, 698 i.e 2.

3. How can I use the GCD of 738, 492, 248, 698Calculator?

Out the numbers 738, 492, 248, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.