GCD of 748, 820, 914, 962 Calculator

Given Input numbers are 748, 820, 914, 962

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

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 962 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 820, 914, 962) = 2.

Given numbers are 748, 820, 914, 962

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 914 are 2 x 457

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 748, 820, 914, 962 is 2.

Given numbers are 748, 820, 914, 962

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

Apply this formula for all numbers.

Step1:

LCM(748, 820) = 153340

GCD(748, 820) = ( 748 x 820 ) / 153340

= 748 / 820

= 748

Step2:

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

= 4 / 914

= 4

Step3:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

So, Greatest Common Divisor of 748, 820, 914, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 322, 416, 199
• GCD of 598, 193, 363, 610
• GCD of 141, 731, 831, 560
• GCD of 168, 428, 464, 257
• GCD of 649, 719, 509, 906

Given numbers are 748, 820, 914, 962
The greatest common divisor of numbers 748, 820, 914, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 820, 914, 962 is 2.

1. What is the GCD of 748, 820, 914, 962?

GCD of given numbers 748, 820, 914, 962 is 2

2. How to calculate the greatest common divisor of 748, 820, 914, 962?

We can find the highest common divisor of 748, 820, 914, 962 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 748, 820, 914, 962 i.e 2.

3. How can I use the GCD of 748, 820, 914, 962Calculator?

Out the numbers 748, 820, 914, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.