GCD of 975, 760, 280 Calculator

Given Input numbers are 975, 760, 280

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (975, 760, 280) = 5.

Given numbers are 975, 760, 280

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 975, 760, 280 is 5.

Given numbers are 975, 760, 280

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

Apply this formula for all numbers.

Step1:

LCM(975, 760) = 148200

GCD(975, 760) = ( 975 x 760 ) / 148200

= 975 / 760

= 975

Step2:

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

= 5 / 280

= 5

So, Greatest Common Divisor of 975, 760, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 876, 901
• GCD of 548, 521, 981
• GCD of 601, 818, 649
• GCD of 521, 940, 838
• GCD of 829, 624, 215

Given numbers are 975, 760, 280
The greatest common divisor of numbers 975, 760, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 760, 280 is 5.

1. What is the GCD of 975, 760, 280?

GCD of given numbers 975, 760, 280 is 5

2. How to calculate the greatest common divisor of 975, 760, 280?

We can find the highest common divisor of 975, 760, 280 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 975, 760, 280 i.e 5.

3. How can I use the GCD of 975, 760, 280Calculator?

Out the numbers 975, 760, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.