GCD of 260, 375, 770, 315 Calculator

Given Input numbers are 260, 375, 770, 315

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (260, 375, 770, 315) = 5.

Given numbers are 260, 375, 770, 315

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 260, 375, 770, 315 is 5.

Given numbers are 260, 375, 770, 315

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

Apply this formula for all numbers.

Step1:

LCM(260, 375) = 19500

GCD(260, 375) = ( 260 x 375 ) / 19500

= 260 / 375

= 260

Step2:

LCM(5, 770) = 770

GCD(5, 770) = ( 5 x 770 ) / 770

= 5 / 770

= 5

Step3:

LCM(5, 315) = 315

GCD(5, 315) = ( 5 x 315 ) / 315

= 5 / 315

= 5

So, Greatest Common Divisor of 260, 375, 770, 315 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 644, 719, 401
• GCD of 338, 824, 375, 670
• GCD of 989, 851, 289, 278
• GCD of 998, 104, 392, 252
• GCD of 313, 231, 101, 464

Given numbers are 260, 375, 770, 315
The greatest common divisor of numbers 260, 375, 770, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 375, 770, 315 is 5.

1. What is the GCD of 260, 375, 770, 315?

GCD of given numbers 260, 375, 770, 315 is 5

2. How to calculate the greatest common divisor of 260, 375, 770, 315?

We can find the highest common divisor of 260, 375, 770, 315 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 260, 375, 770, 315 i.e 5.

3. How can I use the GCD of 260, 375, 770, 315Calculator?

Out the numbers 260, 375, 770, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.