Highest Common Factor of 3683, 2042, 43672 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3683, 2042, 43672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3683, 2042, 43672 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 3683, 2042, 43672 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 3683, 2042, 43672 is 1.

HCF(3683, 2042, 43672) = 1

HCF of 3683, 2042, 43672 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 3683, 2042, 43672 is 1.

Highest Common Factor of 3683,2042,43672 using Euclid's algorithm

Highest Common Factor of 3683,2042,43672 is 1

Step 1: Since 3683 > 2042, we apply the division lemma to 3683 and 2042, to get

3683 = 2042 x 1 + 1641

Step 2: Since the reminder 2042 ≠ 0, we apply division lemma to 1641 and 2042, to get

2042 = 1641 x 1 + 401

Step 3: We consider the new divisor 1641 and the new remainder 401, and apply the division lemma to get

1641 = 401 x 4 + 37

We consider the new divisor 401 and the new remainder 37,and apply the division lemma to get

401 = 37 x 10 + 31

We consider the new divisor 37 and the new remainder 31,and apply the division lemma to get

37 = 31 x 1 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3683 and 2042 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(37,31) = HCF(401,37) = HCF(1641,401) = HCF(2042,1641) = HCF(3683,2042) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 43672 > 1, we apply the division lemma to 43672 and 1, to get

43672 = 1 x 43672 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43672 is 1

Notice that 1 = HCF(43672,1) .

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Frequently Asked Questions on HCF of 3683, 2042, 43672 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 3683, 2042, 43672?

Answer: HCF of 3683, 2042, 43672 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3683, 2042, 43672 using Euclid's Algorithm?

Answer: For arbitrary numbers 3683, 2042, 43672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.