GCD of 742, 987, 504, 441 Calculator

Given Input numbers are 742, 987, 504, 441

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (742, 987, 504, 441) = 7.

Given numbers are 742, 987, 504, 441

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 987 are 3 x 7 x 47

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 7¹

Therefore, GCD of 742, 987, 504, 441 is 7.

Given numbers are 742, 987, 504, 441

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

Apply this formula for all numbers.

Step1:

LCM(742, 987) = 104622

GCD(742, 987) = ( 742 x 987 ) / 104622

= 742 / 987

= 742

Step2:

LCM(7, 504) = 504

GCD(7, 504) = ( 7 x 504 ) / 504

= 7 / 504

= 7

Step3:

LCM(7, 441) = 441

GCD(7, 441) = ( 7 x 441 ) / 441

= 7 / 441

= 7

So, Greatest Common Divisor of 742, 987, 504, 441 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 862, 530, 423
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• GCD of 658, 164, 161, 506
• GCD of 990, 272, 540, 657
• GCD of 548, 404, 909, 767

Given numbers are 742, 987, 504, 441
The greatest common divisor of numbers 742, 987, 504, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 987, 504, 441 is 7.

1. What is the GCD of 742, 987, 504, 441?

GCD of given numbers 742, 987, 504, 441 is 7

2. How to calculate the greatest common divisor of 742, 987, 504, 441?

We can find the highest common divisor of 742, 987, 504, 441 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 742, 987, 504, 441 i.e 7.

3. How can I use the GCD of 742, 987, 504, 441Calculator?

Out the numbers 742, 987, 504, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.