GCD of 763, 924, 420 Calculator

Given Input numbers are 763, 924, 420

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 (763, 924, 420) = 7.

Given numbers are 763, 924, 420

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

The highest common occurrence is 7¹

Therefore, GCD of 763, 924, 420 is 7.

Given numbers are 763, 924, 420

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

Apply this formula for all numbers.

Step1:

LCM(763, 924) = 100716

GCD(763, 924) = ( 763 x 924 ) / 100716

= 763 / 924

= 763

Step2:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

So, Greatest Common Divisor of 763, 924, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 969, 682
• GCD of 336, 615, 656
• GCD of 803, 904, 489
• GCD of 424, 386, 705
• GCD of 578, 206, 762

Given numbers are 763, 924, 420
The greatest common divisor of numbers 763, 924, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 924, 420 is 7.

1. What is the GCD of 763, 924, 420?

GCD of given numbers 763, 924, 420 is 7

2. How to calculate the greatest common divisor of 763, 924, 420?

We can find the highest common divisor of 763, 924, 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 763, 924, 420 i.e 7.

3. How can I use the GCD of 763, 924, 420Calculator?

Out the numbers 763, 924, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.