GCD of 448, 343, 420, 812 Calculator

Given Input numbers are 448, 343, 420, 812

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (448, 343, 420, 812) = 7.

Given numbers are 448, 343, 420, 812

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

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

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 7¹

Therefore, GCD of 448, 343, 420, 812 is 7.

Given numbers are 448, 343, 420, 812

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

Apply this formula for all numbers.

Step1:

LCM(448, 343) = 21952

GCD(448, 343) = ( 448 x 343 ) / 21952

= 448 / 343

= 448

Step2:

LCM(7, 420) = 420

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

= 7 / 420

= 7

Step3:

LCM(7, 812) = 812

GCD(7, 812) = ( 7 x 812 ) / 812

= 7 / 812

= 7

So, Greatest Common Divisor of 448, 343, 420, 812 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 302, 666, 430
• GCD of 415, 466, 504, 220
• GCD of 416, 204, 432, 612
• GCD of 530, 563, 966, 442
• GCD of 243, 877, 564, 638

Given numbers are 448, 343, 420, 812
The greatest common divisor of numbers 448, 343, 420, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 343, 420, 812 is 7.

1. What is the GCD of 448, 343, 420, 812?

GCD of given numbers 448, 343, 420, 812 is 7

2. How to calculate the greatest common divisor of 448, 343, 420, 812?

We can find the highest common divisor of 448, 343, 420, 812 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 448, 343, 420, 812 i.e 7.

3. How can I use the GCD of 448, 343, 420, 812Calculator?

Out the numbers 448, 343, 420, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.