GCD of 758, 316, 832, 680 Calculator

Given Input numbers are 758, 316, 832, 680

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (758, 316, 832, 680) = 2.

Given numbers are 758, 316, 832, 680

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 316 are 2 x 2 x 79

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 758, 316, 832, 680 is 2.

Given numbers are 758, 316, 832, 680

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

Apply this formula for all numbers.

Step1:

LCM(758, 316) = 119764

GCD(758, 316) = ( 758 x 316 ) / 119764

= 758 / 316

= 758

Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 758, 316, 832, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 280, 660, 549
• GCD of 840, 175, 448, 268
• GCD of 202, 653, 947, 594
• GCD of 292, 420, 946, 134
• GCD of 349, 569, 882, 394

Given numbers are 758, 316, 832, 680
The greatest common divisor of numbers 758, 316, 832, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 316, 832, 680 is 2.

1. What is the GCD of 758, 316, 832, 680?

GCD of given numbers 758, 316, 832, 680 is 2

2. How to calculate the greatest common divisor of 758, 316, 832, 680?

We can find the highest common divisor of 758, 316, 832, 680 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 758, 316, 832, 680 i.e 2.

3. How can I use the GCD of 758, 316, 832, 680Calculator?

Out the numbers 758, 316, 832, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.