GCD of 932, 748, 642, 742 Calculator

Given Input numbers are 932, 748, 642, 742

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

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (932, 748, 642, 742) = 2.

Given numbers are 932, 748, 642, 742

The list of prime factors of all numbers are

Prime factors of 932 are 2 x 2 x 233

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 642 are 2 x 3 x 107

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 932, 748, 642, 742 is 2.

Given numbers are 932, 748, 642, 742

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

Apply this formula for all numbers.

Step1:

LCM(932, 748) = 174284

GCD(932, 748) = ( 932 x 748 ) / 174284

= 932 / 748

= 932

Step2:

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

= 4 / 642

= 4

Step3:

LCM(2, 742) = 742

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

= 2 / 742

= 2

So, Greatest Common Divisor of 932, 748, 642, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 207, 917, 281
• GCD of 817, 351, 735, 642
• GCD of 427, 511, 941, 485
• GCD of 868, 514, 696, 915
• GCD of 709, 847, 966, 272

Given numbers are 932, 748, 642, 742
The greatest common divisor of numbers 932, 748, 642, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 932, 748, 642, 742 is 2.

1. What is the GCD of 932, 748, 642, 742?

GCD of given numbers 932, 748, 642, 742 is 2

2. How to calculate the greatest common divisor of 932, 748, 642, 742?

We can find the highest common divisor of 932, 748, 642, 742 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 932, 748, 642, 742 i.e 2.

3. How can I use the GCD of 932, 748, 642, 742Calculator?

Out the numbers 932, 748, 642, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.