GCD of 291, 954, 507, 702 Calculator

Given Input numbers are 291, 954, 507, 702

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (291, 954, 507, 702) = 3.

Given numbers are 291, 954, 507, 702

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 507 are 3 x 13 x 13

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 291, 954, 507, 702 is 3.

Given numbers are 291, 954, 507, 702

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

Apply this formula for all numbers.

Step1:

LCM(291, 954) = 92538

GCD(291, 954) = ( 291 x 954 ) / 92538

= 291 / 954

= 291

Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 291, 954, 507, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 736, 186, 498
• GCD of 761, 333, 209, 212
• GCD of 395, 928, 223, 527
• GCD of 970, 354, 957, 975
• GCD of 253, 362, 764, 294

Given numbers are 291, 954, 507, 702
The greatest common divisor of numbers 291, 954, 507, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 954, 507, 702 is 3.

1. What is the GCD of 291, 954, 507, 702?

GCD of given numbers 291, 954, 507, 702 is 3

2. How to calculate the greatest common divisor of 291, 954, 507, 702?

We can find the highest common divisor of 291, 954, 507, 702 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 291, 954, 507, 702 i.e 3.

3. How can I use the GCD of 291, 954, 507, 702Calculator?

Out the numbers 291, 954, 507, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.