GCD of 434, 700, 706, 994 Calculator

Given Input numbers are 434, 700, 706, 994

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (434, 700, 706, 994) = 2.

Given numbers are 434, 700, 706, 994

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 706 are 2 x 353

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 434, 700, 706, 994 is 2.

Given numbers are 434, 700, 706, 994

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

Apply this formula for all numbers.

Step1:

LCM(434, 700) = 21700

GCD(434, 700) = ( 434 x 700 ) / 21700

= 434 / 700

= 434

Step2:

LCM(14, 706) = 4942

GCD(14, 706) = ( 14 x 706 ) / 4942

= 14 / 706

= 14

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 434, 700, 706, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 836, 658, 514
• GCD of 692, 459, 435, 471
• GCD of 138, 468, 510, 270
• GCD of 126, 275, 346, 171
• GCD of 241, 876, 839, 524

Given numbers are 434, 700, 706, 994
The greatest common divisor of numbers 434, 700, 706, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 700, 706, 994 is 2.

1. What is the GCD of 434, 700, 706, 994?

GCD of given numbers 434, 700, 706, 994 is 2

2. How to calculate the greatest common divisor of 434, 700, 706, 994?

We can find the highest common divisor of 434, 700, 706, 994 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 434, 700, 706, 994 i.e 2.

3. How can I use the GCD of 434, 700, 706, 994Calculator?

Out the numbers 434, 700, 706, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.