GCD of 385, 625, 730, 980 Calculator

Given Input numbers are 385, 625, 730, 980

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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

GCD of numbers is the greatest common divisor

So, the GCD (385, 625, 730, 980) = 5.

Given numbers are 385, 625, 730, 980

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 730 are 2 x 5 x 73

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

The highest common occurrence is 5¹

Therefore, GCD of 385, 625, 730, 980 is 5.

Given numbers are 385, 625, 730, 980

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

Apply this formula for all numbers.

Step1:

LCM(385, 625) = 48125

GCD(385, 625) = ( 385 x 625 ) / 48125

= 385 / 625

= 385

Step2:

LCM(5, 730) = 730

GCD(5, 730) = ( 5 x 730 ) / 730

= 5 / 730

= 5

Step3:

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

= 5 / 980

= 5

So, Greatest Common Divisor of 385, 625, 730, 980 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 953, 314, 236
• GCD of 669, 785, 833, 313
• GCD of 297, 596, 118, 619
• GCD of 507, 288, 864, 717
• GCD of 845, 595, 555, 747

Given numbers are 385, 625, 730, 980
The greatest common divisor of numbers 385, 625, 730, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 625, 730, 980 is 5.

1. What is the GCD of 385, 625, 730, 980?

GCD of given numbers 385, 625, 730, 980 is 5

2. How to calculate the greatest common divisor of 385, 625, 730, 980?

We can find the highest common divisor of 385, 625, 730, 980 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 385, 625, 730, 980 i.e 5.

3. How can I use the GCD of 385, 625, 730, 980Calculator?

Out the numbers 385, 625, 730, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.