GCD of 740, 977, 374, 496 Calculator

Given Input numbers are 740, 977, 374, 496

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (740, 977, 374, 496) = 1.

Given numbers are 740, 977, 374, 496

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 977 are 977

Prime factors of 374 are 2 x 11 x 17

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 740, 977, 374, 496

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

Apply this formula for all numbers.

Step1:

LCM(740, 977) = 722980

GCD(740, 977) = ( 740 x 977 ) / 722980

= 740 / 977

= 740

Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 740, 977, 374, 496 is 1

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Given numbers are 740, 977, 374, 496
The greatest common divisor of numbers 740, 977, 374, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 977, 374, 496 is 1.

1. What is the GCD of 740, 977, 374, 496?

GCD of given numbers 740, 977, 374, 496 is 1

2. How to calculate the greatest common divisor of 740, 977, 374, 496?

We can find the highest common divisor of 740, 977, 374, 496 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 740, 977, 374, 496 i.e 1.

3. How can I use the GCD of 740, 977, 374, 496Calculator?

Out the numbers 740, 977, 374, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.