GCD of 134, 562, 840, 448 Calculator

Given Input numbers are 134, 562, 840, 448

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

GCD of numbers is the greatest common divisor

So, the GCD (134, 562, 840, 448) = 2.

Given numbers are 134, 562, 840, 448

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 562 are 2 x 281

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 134, 562, 840, 448 is 2.

Given numbers are 134, 562, 840, 448

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

Apply this formula for all numbers.

Step1:

LCM(134, 562) = 37654

GCD(134, 562) = ( 134 x 562 ) / 37654

= 134 / 562

= 134

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 134, 562, 840, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 671, 233, 304
• GCD of 200, 867, 288, 307
• GCD of 134, 722, 432, 859
• GCD of 148, 808, 742, 244
• GCD of 740, 118, 207, 700

Given numbers are 134, 562, 840, 448
The greatest common divisor of numbers 134, 562, 840, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 562, 840, 448 is 2.

1. What is the GCD of 134, 562, 840, 448?

GCD of given numbers 134, 562, 840, 448 is 2

2. How to calculate the greatest common divisor of 134, 562, 840, 448?

We can find the highest common divisor of 134, 562, 840, 448 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 134, 562, 840, 448 i.e 2.

3. How can I use the GCD of 134, 562, 840, 448Calculator?

Out the numbers 134, 562, 840, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.