GCD of 706, 938, 742, 992 Calculator

Given Input numbers are 706, 938, 742, 992

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (706, 938, 742, 992) = 2.

Given numbers are 706, 938, 742, 992

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 938 are 2 x 7 x 67

Prime factors of 742 are 2 x 7 x 53

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 706, 938, 742, 992 is 2.

Given numbers are 706, 938, 742, 992

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

Apply this formula for all numbers.

Step1:

LCM(706, 938) = 331114

GCD(706, 938) = ( 706 x 938 ) / 331114

= 706 / 938

= 706

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 706, 938, 742, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 740, 533, 358
• GCD of 161, 500, 679, 947
• GCD of 474, 702, 828, 139
• GCD of 238, 160, 729, 889
• GCD of 534, 375, 118, 102

Given numbers are 706, 938, 742, 992
The greatest common divisor of numbers 706, 938, 742, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 938, 742, 992 is 2.

1. What is the GCD of 706, 938, 742, 992?

GCD of given numbers 706, 938, 742, 992 is 2

2. How to calculate the greatest common divisor of 706, 938, 742, 992?

We can find the highest common divisor of 706, 938, 742, 992 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, 938, 742, 992 i.e 2.

3. How can I use the GCD of 706, 938, 742, 992Calculator?

Out the numbers 706, 938, 742, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.