GCD of 120, 702, 98, 928 Calculator

Given Input numbers are 120, 702, 98, 928

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (120, 702, 98, 928) = 2.

Given numbers are 120, 702, 98, 928

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 98 are 2 x 7 x 7

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 120, 702, 98, 928 is 2.

Given numbers are 120, 702, 98, 928

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

Apply this formula for all numbers.

Step1:

LCM(120, 702) = 14040

GCD(120, 702) = ( 120 x 702 ) / 14040

= 120 / 702

= 120

Step2:

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

= 6 / 98

= 6

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 120, 702, 98, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 940, 97, 109
• GCD of 842, 468, 79, 795
• GCD of 450, 922, 15, 252
• GCD of 852, 288, 91, 718
• GCD of 872, 834, 53, 877

Given numbers are 120, 702, 98, 928
The greatest common divisor of numbers 120, 702, 98, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 702, 98, 928 is 2.

1. What is the GCD of 120, 702, 98, 928?

GCD of given numbers 120, 702, 98, 928 is 2

2. How to calculate the greatest common divisor of 120, 702, 98, 928?

We can find the highest common divisor of 120, 702, 98, 928 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 120, 702, 98, 928 i.e 2.

3. How can I use the GCD of 120, 702, 98, 928Calculator?

Out the numbers 120, 702, 98, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.