GCD of 698, 716, 910, 414 Calculator

Given Input numbers are 698, 716, 910, 414

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (698, 716, 910, 414) = 2.

Given numbers are 698, 716, 910, 414

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 716 are 2 x 2 x 179

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 698, 716, 910, 414 is 2.

Given numbers are 698, 716, 910, 414

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

Apply this formula for all numbers.

Step1:

LCM(698, 716) = 249884

GCD(698, 716) = ( 698 x 716 ) / 249884

= 698 / 716

= 698

Step2:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 698, 716, 910, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 554, 690, 486
• GCD of 245, 781, 537, 594
• GCD of 499, 326, 355, 531
• GCD of 309, 235, 960, 130
• GCD of 540, 339, 512, 893

Given numbers are 698, 716, 910, 414
The greatest common divisor of numbers 698, 716, 910, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 716, 910, 414 is 2.

1. What is the GCD of 698, 716, 910, 414?

GCD of given numbers 698, 716, 910, 414 is 2

2. How to calculate the greatest common divisor of 698, 716, 910, 414?

We can find the highest common divisor of 698, 716, 910, 414 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 698, 716, 910, 414 i.e 2.

3. How can I use the GCD of 698, 716, 910, 414Calculator?

Out the numbers 698, 716, 910, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.