GCD of 766, 748, 760, 436 Calculator

Given Input numbers are 766, 748, 760, 436

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

GCD of numbers is the greatest common divisor

So, the GCD (766, 748, 760, 436) = 2.

Given numbers are 766, 748, 760, 436

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

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

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 436 are 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 766, 748, 760, 436 is 2.

Given numbers are 766, 748, 760, 436

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

Apply this formula for all numbers.

Step1:

LCM(766, 748) = 286484

GCD(766, 748) = ( 766 x 748 ) / 286484

= 766 / 748

= 766

Step2:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

Step3:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

So, Greatest Common Divisor of 766, 748, 760, 436 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 558, 312, 120
• GCD of 426, 803, 252, 363
• GCD of 862, 708, 365, 564
• GCD of 126, 834, 480, 915
• GCD of 824, 372, 351, 688

Given numbers are 766, 748, 760, 436
The greatest common divisor of numbers 766, 748, 760, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 748, 760, 436 is 2.

1. What is the GCD of 766, 748, 760, 436?

GCD of given numbers 766, 748, 760, 436 is 2

2. How to calculate the greatest common divisor of 766, 748, 760, 436?

We can find the highest common divisor of 766, 748, 760, 436 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 766, 748, 760, 436 i.e 2.

3. How can I use the GCD of 766, 748, 760, 436Calculator?

Out the numbers 766, 748, 760, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.