GCD of 762, 400, 548, 464 Calculator

Given Input numbers are 762, 400, 548, 464

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (762, 400, 548, 464) = 2.

Given numbers are 762, 400, 548, 464

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 548 are 2 x 2 x 137

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 762, 400, 548, 464 is 2.

Given numbers are 762, 400, 548, 464

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

Apply this formula for all numbers.

Step1:

LCM(762, 400) = 152400

GCD(762, 400) = ( 762 x 400 ) / 152400

= 762 / 400

= 762

Step2:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 762, 400, 548, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 872, 871, 104
• GCD of 487, 112, 278, 621
• GCD of 962, 816, 672, 708
• GCD of 308, 784, 559, 299
• GCD of 657, 199, 305, 993

Given numbers are 762, 400, 548, 464
The greatest common divisor of numbers 762, 400, 548, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 400, 548, 464 is 2.

1. What is the GCD of 762, 400, 548, 464?

GCD of given numbers 762, 400, 548, 464 is 2

2. How to calculate the greatest common divisor of 762, 400, 548, 464?

We can find the highest common divisor of 762, 400, 548, 464 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 762, 400, 548, 464 i.e 2.

3. How can I use the GCD of 762, 400, 548, 464Calculator?

Out the numbers 762, 400, 548, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.