GCD of 959, 735, 749, 280 Calculator

Given Input numbers are 959, 735, 749, 280

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

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 (959, 735, 749, 280) = 7.

Given numbers are 959, 735, 749, 280

The list of prime factors of all numbers are

Prime factors of 959 are 7 x 137

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 749 are 7 x 107

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

The highest common occurrence is 7¹

Therefore, GCD of 959, 735, 749, 280 is 7.

Given numbers are 959, 735, 749, 280

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

Apply this formula for all numbers.

Step1:

LCM(959, 735) = 100695

GCD(959, 735) = ( 959 x 735 ) / 100695

= 959 / 735

= 959

Step2:

LCM(7, 749) = 749

GCD(7, 749) = ( 7 x 749 ) / 749

= 7 / 749

= 7

Step3:

LCM(7, 280) = 280

GCD(7, 280) = ( 7 x 280 ) / 280

= 7 / 280

= 7

So, Greatest Common Divisor of 959, 735, 749, 280 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 260, 637, 435
• GCD of 530, 740, 625, 231
• GCD of 315, 268, 849, 935
• GCD of 619, 675, 927, 583
• GCD of 514, 578, 502, 335

Given numbers are 959, 735, 749, 280
The greatest common divisor of numbers 959, 735, 749, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 735, 749, 280 is 7.

1. What is the GCD of 959, 735, 749, 280?

GCD of given numbers 959, 735, 749, 280 is 7

2. How to calculate the greatest common divisor of 959, 735, 749, 280?

We can find the highest common divisor of 959, 735, 749, 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 959, 735, 749, 280 i.e 7.

3. How can I use the GCD of 959, 735, 749, 280Calculator?

Out the numbers 959, 735, 749, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.