GCD of 760, 232, 696, 490 Calculator

Given Input numbers are 760, 232, 696, 490

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (760, 232, 696, 490) = 2.

Given numbers are 760, 232, 696, 490

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 232 are 2 x 2 x 2 x 29

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 760, 232, 696, 490 is 2.

Given numbers are 760, 232, 696, 490

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

Apply this formula for all numbers.

Step1:

LCM(760, 232) = 22040

GCD(760, 232) = ( 760 x 232 ) / 22040

= 760 / 232

= 760

Step2:

LCM(8, 696) = 696

GCD(8, 696) = ( 8 x 696 ) / 696

= 8 / 696

= 8

Step3:

LCM(8, 490) = 1960

GCD(8, 490) = ( 8 x 490 ) / 1960

= 8 / 490

= 8

So, Greatest Common Divisor of 760, 232, 696, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 102, 277, 520
• GCD of 630, 240, 259, 318
• GCD of 232, 435, 214, 893
• GCD of 861, 300, 452, 366
• GCD of 833, 907, 635, 681

Given numbers are 760, 232, 696, 490
The greatest common divisor of numbers 760, 232, 696, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 232, 696, 490 is 2.

1. What is the GCD of 760, 232, 696, 490?

GCD of given numbers 760, 232, 696, 490 is 2

2. How to calculate the greatest common divisor of 760, 232, 696, 490?

We can find the highest common divisor of 760, 232, 696, 490 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, 232, 696, 490 i.e 2.

3. How can I use the GCD of 760, 232, 696, 490Calculator?

Out the numbers 760, 232, 696, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.