GCD of 960, 778, 698, 448 Calculator

Given Input numbers are 960, 778, 698, 448

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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 (960, 778, 698, 448) = 2.

Given numbers are 960, 778, 698, 448

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 778 are 2 x 389

Prime factors of 698 are 2 x 349

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 960, 778, 698, 448 is 2.

Given numbers are 960, 778, 698, 448

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

Apply this formula for all numbers.

Step1:

LCM(960, 778) = 373440

GCD(960, 778) = ( 960 x 778 ) / 373440

= 960 / 778

= 960

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 448) = 448

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

= 2 / 448

= 2

So, Greatest Common Divisor of 960, 778, 698, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 379, 419, 545
• GCD of 261, 778, 119, 446
• GCD of 733, 672, 891, 334
• GCD of 461, 773, 871, 560
• GCD of 668, 374, 624, 516

Given numbers are 960, 778, 698, 448
The greatest common divisor of numbers 960, 778, 698, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 778, 698, 448 is 2.

1. What is the GCD of 960, 778, 698, 448?

GCD of given numbers 960, 778, 698, 448 is 2

2. How to calculate the greatest common divisor of 960, 778, 698, 448?

We can find the highest common divisor of 960, 778, 698, 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 960, 778, 698, 448 i.e 2.

3. How can I use the GCD of 960, 778, 698, 448Calculator?

Out the numbers 960, 778, 698, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.