GCD of 684, 248, 740, 448 Calculator

Given Input numbers are 684, 248, 740, 448

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 (684, 248, 740, 448) = 4.

Given numbers are 684, 248, 740, 448

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 740 are 2 x 2 x 5 x 37

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

The highest common occurrence is 2²

Therefore, GCD of 684, 248, 740, 448 is 4.

Given numbers are 684, 248, 740, 448

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

Apply this formula for all numbers.

Step1:

LCM(684, 248) = 42408

GCD(684, 248) = ( 684 x 248 ) / 42408

= 684 / 248

= 684

Step2:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4

Step3:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

So, Greatest Common Divisor of 684, 248, 740, 448 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 662, 439, 877
• GCD of 547, 638, 146, 826
• GCD of 613, 533, 387, 233
• GCD of 414, 914, 348, 120
• GCD of 114, 163, 828, 677

Given numbers are 684, 248, 740, 448
The greatest common divisor of numbers 684, 248, 740, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 248, 740, 448 is 4.

1. What is the GCD of 684, 248, 740, 448?

GCD of given numbers 684, 248, 740, 448 is 4

2. How to calculate the greatest common divisor of 684, 248, 740, 448?

We can find the highest common divisor of 684, 248, 740, 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 684, 248, 740, 448 i.e 4.

3. How can I use the GCD of 684, 248, 740, 448Calculator?

Out the numbers 684, 248, 740, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.