GCD of 916, 702, 220, 758 Calculator

Given Input numbers are 916, 702, 220, 758

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 758 :

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

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (916, 702, 220, 758) = 2.

Given numbers are 916, 702, 220, 758

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 916, 702, 220, 758 is 2.

Given numbers are 916, 702, 220, 758

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

Apply this formula for all numbers.

Step1:

LCM(916, 702) = 321516

GCD(916, 702) = ( 916 x 702 ) / 321516

= 916 / 702

= 916

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 916, 702, 220, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 825, 635, 348
• GCD of 108, 276, 802, 529
• GCD of 116, 800, 450, 525
• GCD of 460, 157, 500, 411
• GCD of 239, 509, 310, 414

Given numbers are 916, 702, 220, 758
The greatest common divisor of numbers 916, 702, 220, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 702, 220, 758 is 2.

1. What is the GCD of 916, 702, 220, 758?

GCD of given numbers 916, 702, 220, 758 is 2

2. How to calculate the greatest common divisor of 916, 702, 220, 758?

We can find the highest common divisor of 916, 702, 220, 758 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 916, 702, 220, 758 i.e 2.

3. How can I use the GCD of 916, 702, 220, 758Calculator?

Out the numbers 916, 702, 220, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.