GCD of 716, 398, 740, 448 Calculator

Given Input numbers are 716, 398, 740, 448

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 (716, 398, 740, 448) = 2.

Given numbers are 716, 398, 740, 448

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 398 are 2 x 199

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 2¹

Therefore, GCD of 716, 398, 740, 448 is 2.

Given numbers are 716, 398, 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(716, 398) = 142484

GCD(716, 398) = ( 716 x 398 ) / 142484

= 716 / 398

= 716

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 448) = 448

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

= 2 / 448

= 2

So, Greatest Common Divisor of 716, 398, 740, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 847, 844, 193
• GCD of 914, 988, 727, 196
• GCD of 820, 180, 197, 894
• GCD of 104, 525, 814, 795
• GCD of 284, 929, 494, 501

Given numbers are 716, 398, 740, 448
The greatest common divisor of numbers 716, 398, 740, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 398, 740, 448 is 2.

1. What is the GCD of 716, 398, 740, 448?

GCD of given numbers 716, 398, 740, 448 is 2

2. How to calculate the greatest common divisor of 716, 398, 740, 448?

We can find the highest common divisor of 716, 398, 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 716, 398, 740, 448 i.e 2.

3. How can I use the GCD of 716, 398, 740, 448Calculator?

Out the numbers 716, 398, 740, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.