GCD of 706, 398, 350, 988 Calculator

Given Input numbers are 706, 398, 350, 988

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

Divisors of 706 :

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

1, 2, 353, 706

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (706, 398, 350, 988) = 2.

Given numbers are 706, 398, 350, 988

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 398 are 2 x 199

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 706, 398, 350, 988 is 2.

Given numbers are 706, 398, 350, 988

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

Apply this formula for all numbers.

Step1:

LCM(706, 398) = 140494

GCD(706, 398) = ( 706 x 398 ) / 140494

= 706 / 398

= 706

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 706, 398, 350, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 491, 171, 539
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• GCD of 870, 786, 368, 581
• GCD of 526, 142, 294, 509
• GCD of 317, 162, 126, 385

Given numbers are 706, 398, 350, 988
The greatest common divisor of numbers 706, 398, 350, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 398, 350, 988 is 2.

1. What is the GCD of 706, 398, 350, 988?

GCD of given numbers 706, 398, 350, 988 is 2

2. How to calculate the greatest common divisor of 706, 398, 350, 988?

We can find the highest common divisor of 706, 398, 350, 988 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 706, 398, 350, 988 i.e 2.

3. How can I use the GCD of 706, 398, 350, 988Calculator?

Out the numbers 706, 398, 350, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.