GCD of 352, 680, 718, 490 Calculator

Given Input numbers are 352, 680, 718, 490

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 (352, 680, 718, 490) = 2.

Given numbers are 352, 680, 718, 490

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 718 are 2 x 359

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

The highest common occurrence is 2¹

Therefore, GCD of 352, 680, 718, 490 is 2.

Given numbers are 352, 680, 718, 490

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

Apply this formula for all numbers.

Step1:

LCM(352, 680) = 29920

GCD(352, 680) = ( 352 x 680 ) / 29920

= 352 / 680

= 352

Step2:

LCM(8, 718) = 2872

GCD(8, 718) = ( 8 x 718 ) / 2872

= 8 / 718

= 8

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 352, 680, 718, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 617, 789, 731
• GCD of 560, 356, 615, 965
• GCD of 256, 966, 805, 921
• GCD of 423, 524, 517, 411
• GCD of 398, 137, 745, 931

Given numbers are 352, 680, 718, 490
The greatest common divisor of numbers 352, 680, 718, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 680, 718, 490 is 2.

1. What is the GCD of 352, 680, 718, 490?

GCD of given numbers 352, 680, 718, 490 is 2

2. How to calculate the greatest common divisor of 352, 680, 718, 490?

We can find the highest common divisor of 352, 680, 718, 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 352, 680, 718, 490 i.e 2.

3. How can I use the GCD of 352, 680, 718, 490Calculator?

Out the numbers 352, 680, 718, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.