GCD of 760, 874, 576, 196 Calculator

Given Input numbers are 760, 874, 576, 196

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (760, 874, 576, 196) = 2.

Given numbers are 760, 874, 576, 196

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 874 are 2 x 19 x 23

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 760, 874, 576, 196 is 2.

Given numbers are 760, 874, 576, 196

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

Apply this formula for all numbers.

Step1:

LCM(760, 874) = 17480

GCD(760, 874) = ( 760 x 874 ) / 17480

= 760 / 874

= 760

Step2:

LCM(38, 576) = 10944

GCD(38, 576) = ( 38 x 576 ) / 10944

= 38 / 576

= 38

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 760, 874, 576, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 264, 862, 589
• GCD of 515, 419, 793, 924
• GCD of 317, 303, 848, 232
• GCD of 278, 664, 749, 491
• GCD of 681, 925, 131, 165

Given numbers are 760, 874, 576, 196
The greatest common divisor of numbers 760, 874, 576, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 874, 576, 196 is 2.

1. What is the GCD of 760, 874, 576, 196?

GCD of given numbers 760, 874, 576, 196 is 2

2. How to calculate the greatest common divisor of 760, 874, 576, 196?

We can find the highest common divisor of 760, 874, 576, 196 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 760, 874, 576, 196 i.e 2.

3. How can I use the GCD of 760, 874, 576, 196Calculator?

Out the numbers 760, 874, 576, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.