GCD of 376, 340, 980, 746 Calculator

Given Input numbers are 376, 340, 980, 746

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (376, 340, 980, 746) = 2.

Given numbers are 376, 340, 980, 746

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 376, 340, 980, 746 is 2.

Given numbers are 376, 340, 980, 746

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

Apply this formula for all numbers.

Step1:

LCM(376, 340) = 31960

GCD(376, 340) = ( 376 x 340 ) / 31960

= 376 / 340

= 376

Step2:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

Step3:

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

= 4 / 746

= 4

So, Greatest Common Divisor of 376, 340, 980, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 731, 346, 490
• GCD of 521, 877, 993, 756
• GCD of 191, 629, 327, 864
• GCD of 134, 620, 428, 612
• GCD of 958, 748, 564, 299

Given numbers are 376, 340, 980, 746
The greatest common divisor of numbers 376, 340, 980, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 340, 980, 746 is 2.

1. What is the GCD of 376, 340, 980, 746?

GCD of given numbers 376, 340, 980, 746 is 2

2. How to calculate the greatest common divisor of 376, 340, 980, 746?

We can find the highest common divisor of 376, 340, 980, 746 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 376, 340, 980, 746 i.e 2.

3. How can I use the GCD of 376, 340, 980, 746Calculator?

Out the numbers 376, 340, 980, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.