GCD of 425, 980, 825, 120 Calculator

Given Input numbers are 425, 980, 825, 120

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

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

GCD of numbers is the greatest common divisor

So, the GCD (425, 980, 825, 120) = 5.

Given numbers are 425, 980, 825, 120

The list of prime factors of all numbers are

Prime factors of 425 are 5 x 5 x 17

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 425, 980, 825, 120 is 5.

Given numbers are 425, 980, 825, 120

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

Apply this formula for all numbers.

Step1:

LCM(425, 980) = 83300

GCD(425, 980) = ( 425 x 980 ) / 83300

= 425 / 980

= 425

Step2:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

Step3:

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

= 5 / 120

= 5

So, Greatest Common Divisor of 425, 980, 825, 120 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 885, 494, 334
• GCD of 437, 569, 633, 472
• GCD of 105, 334, 337, 802
• GCD of 593, 612, 826, 247
• GCD of 586, 404, 707, 766

Given numbers are 425, 980, 825, 120
The greatest common divisor of numbers 425, 980, 825, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 425, 980, 825, 120 is 5.

1. What is the GCD of 425, 980, 825, 120?

GCD of given numbers 425, 980, 825, 120 is 5

2. How to calculate the greatest common divisor of 425, 980, 825, 120?

We can find the highest common divisor of 425, 980, 825, 120 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 425, 980, 825, 120 i.e 5.

3. How can I use the GCD of 425, 980, 825, 120Calculator?

Out the numbers 425, 980, 825, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.