GCD of 962, 404, 782, 748 Calculator

Given Input numbers are 962, 404, 782, 748

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

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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

GCD of numbers is the greatest common divisor

So, the GCD (962, 404, 782, 748) = 2.

Given numbers are 962, 404, 782, 748

The list of prime factors of all numbers are

Prime factors of 962 are 2 x 13 x 37

Prime factors of 404 are 2 x 2 x 101

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 962, 404, 782, 748 is 2.

Given numbers are 962, 404, 782, 748

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

Apply this formula for all numbers.

Step1:

LCM(962, 404) = 194324

GCD(962, 404) = ( 962 x 404 ) / 194324

= 962 / 404

= 962

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 962, 404, 782, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 935, 924, 467
• GCD of 636, 508, 786, 573
• GCD of 281, 196, 749, 213
• GCD of 855, 929, 612, 841
• GCD of 930, 865, 319, 514

Given numbers are 962, 404, 782, 748
The greatest common divisor of numbers 962, 404, 782, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 404, 782, 748 is 2.

1. What is the GCD of 962, 404, 782, 748?

GCD of given numbers 962, 404, 782, 748 is 2

2. How to calculate the greatest common divisor of 962, 404, 782, 748?

We can find the highest common divisor of 962, 404, 782, 748 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 962, 404, 782, 748 i.e 2.

3. How can I use the GCD of 962, 404, 782, 748Calculator?

Out the numbers 962, 404, 782, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.