GCD of 762, 960, 753, 420 Calculator

Given Input numbers are 762, 960, 753, 420

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (762, 960, 753, 420) = 3.

Given numbers are 762, 960, 753, 420

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 753 are 3 x 251

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 762, 960, 753, 420 is 3.

Given numbers are 762, 960, 753, 420

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

Apply this formula for all numbers.

Step1:

LCM(762, 960) = 121920

GCD(762, 960) = ( 762 x 960 ) / 121920

= 762 / 960

= 762

Step2:

LCM(6, 753) = 1506

GCD(6, 753) = ( 6 x 753 ) / 1506

= 6 / 753

= 6

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 762, 960, 753, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 599, 391, 907
• GCD of 807, 184, 492, 117
• GCD of 327, 280, 261, 679
• GCD of 826, 223, 183, 710
• GCD of 989, 506, 900, 173

Given numbers are 762, 960, 753, 420
The greatest common divisor of numbers 762, 960, 753, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 960, 753, 420 is 3.

1. What is the GCD of 762, 960, 753, 420?

GCD of given numbers 762, 960, 753, 420 is 3

2. How to calculate the greatest common divisor of 762, 960, 753, 420?

We can find the highest common divisor of 762, 960, 753, 420 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, 960, 753, 420 i.e 3.

3. How can I use the GCD of 762, 960, 753, 420Calculator?

Out the numbers 762, 960, 753, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.