GCD of 274, 688, 960, 848 Calculator

Given Input numbers are 274, 688, 960, 848

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (274, 688, 960, 848) = 2.

Given numbers are 274, 688, 960, 848

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 274, 688, 960, 848 is 2.

Given numbers are 274, 688, 960, 848

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

Apply this formula for all numbers.

Step1:

LCM(274, 688) = 94256

GCD(274, 688) = ( 274 x 688 ) / 94256

= 274 / 688

= 274

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

So, Greatest Common Divisor of 274, 688, 960, 848 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 992, 150, 550
• GCD of 754, 346, 281, 318
• GCD of 306, 570, 648, 750
• GCD of 880, 436, 271, 327
• GCD of 109, 459, 384, 101

Given numbers are 274, 688, 960, 848
The greatest common divisor of numbers 274, 688, 960, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 688, 960, 848 is 2.

1. What is the GCD of 274, 688, 960, 848?

GCD of given numbers 274, 688, 960, 848 is 2

2. How to calculate the greatest common divisor of 274, 688, 960, 848?

We can find the highest common divisor of 274, 688, 960, 848 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 274, 688, 960, 848 i.e 2.

3. How can I use the GCD of 274, 688, 960, 848Calculator?

Out the numbers 274, 688, 960, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.