GCD of 298, 490, 436, 718 Calculator

Given Input numbers are 298, 490, 436, 718

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (298, 490, 436, 718) = 2.

Given numbers are 298, 490, 436, 718

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 436 are 2 x 2 x 109

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 298, 490, 436, 718 is 2.

Given numbers are 298, 490, 436, 718

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

Apply this formula for all numbers.

Step1:

LCM(298, 490) = 73010

GCD(298, 490) = ( 298 x 490 ) / 73010

= 298 / 490

= 298

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

Step3:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

So, Greatest Common Divisor of 298, 490, 436, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 831, 921, 757
• GCD of 223, 901, 385, 563
• GCD of 817, 579, 883, 989
• GCD of 623, 720, 894, 914
• GCD of 340, 745, 682, 429

Given numbers are 298, 490, 436, 718
The greatest common divisor of numbers 298, 490, 436, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 490, 436, 718 is 2.

1. What is the GCD of 298, 490, 436, 718?

GCD of given numbers 298, 490, 436, 718 is 2

2. How to calculate the greatest common divisor of 298, 490, 436, 718?

We can find the highest common divisor of 298, 490, 436, 718 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, 490, 436, 718 i.e 2.

3. How can I use the GCD of 298, 490, 436, 718Calculator?

Out the numbers 298, 490, 436, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.