GCD of 298, 440, 736, 712 Calculator

Given Input numbers are 298, 440, 736, 712

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (298, 440, 736, 712) = 2.

Given numbers are 298, 440, 736, 712

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 298, 440, 736, 712 is 2.

Given numbers are 298, 440, 736, 712

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

Apply this formula for all numbers.

Step1:

LCM(298, 440) = 65560

GCD(298, 440) = ( 298 x 440 ) / 65560

= 298 / 440

= 298

Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 298, 440, 736, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 584, 333, 635
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• GCD of 949, 536, 858, 564

Given numbers are 298, 440, 736, 712
The greatest common divisor of numbers 298, 440, 736, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 440, 736, 712 is 2.

1. What is the GCD of 298, 440, 736, 712?

GCD of given numbers 298, 440, 736, 712 is 2

2. How to calculate the greatest common divisor of 298, 440, 736, 712?

We can find the highest common divisor of 298, 440, 736, 712 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 298, 440, 736, 712 i.e 2.

3. How can I use the GCD of 298, 440, 736, 712Calculator?

Out the numbers 298, 440, 736, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.