Highest Common Factor of 3693, 5501, 40998 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 3693, 5501, 40998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3693, 5501, 40998 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 3693, 5501, 40998 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 3693, 5501, 40998 is 1.

HCF(3693, 5501, 40998) = 1

HCF of 3693, 5501, 40998 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 3693, 5501, 40998 is 1.

Highest Common Factor of 3693,5501,40998 using Euclid's algorithm

Highest Common Factor of 3693,5501,40998 is 1

Step 1: Since 5501 > 3693, we apply the division lemma to 5501 and 3693, to get

5501 = 3693 x 1 + 1808

Step 2: Since the reminder 3693 ≠ 0, we apply division lemma to 1808 and 3693, to get

3693 = 1808 x 2 + 77

Step 3: We consider the new divisor 1808 and the new remainder 77, and apply the division lemma to get

1808 = 77 x 23 + 37

We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get

77 = 37 x 2 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3693 and 5501 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(1808,77) = HCF(3693,1808) = HCF(5501,3693) .

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

Step 1: Since 40998 > 1, we apply the division lemma to 40998 and 1, to get

40998 = 1 x 40998 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40998 is 1

Notice that 1 = HCF(40998,1) .

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Frequently Asked Questions on HCF of 3693, 5501, 40998 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 3693, 5501, 40998?

Answer: HCF of 3693, 5501, 40998 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3693, 5501, 40998 using Euclid's Algorithm?

Answer: For arbitrary numbers 3693, 5501, 40998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.