Highest Common Factor of 5657, 4033, 67467 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 5657, 4033, 67467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5657, 4033, 67467 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 5657, 4033, 67467 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 5657, 4033, 67467 is 1.

HCF(5657, 4033, 67467) = 1

HCF of 5657, 4033, 67467 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 5657, 4033, 67467 is 1.

Highest Common Factor of 5657,4033,67467 using Euclid's algorithm

Highest Common Factor of 5657,4033,67467 is 1

Step 1: Since 5657 > 4033, we apply the division lemma to 5657 and 4033, to get

5657 = 4033 x 1 + 1624

Step 2: Since the reminder 4033 ≠ 0, we apply division lemma to 1624 and 4033, to get

4033 = 1624 x 2 + 785

Step 3: We consider the new divisor 1624 and the new remainder 785, and apply the division lemma to get

1624 = 785 x 2 + 54

We consider the new divisor 785 and the new remainder 54,and apply the division lemma to get

785 = 54 x 14 + 29

We consider the new divisor 54 and the new remainder 29,and apply the division lemma to get

54 = 29 x 1 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5657 and 4033 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(54,29) = HCF(785,54) = HCF(1624,785) = HCF(4033,1624) = HCF(5657,4033) .

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

Step 1: Since 67467 > 1, we apply the division lemma to 67467 and 1, to get

67467 = 1 x 67467 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67467 is 1

Notice that 1 = HCF(67467,1) .

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Frequently Asked Questions on HCF of 5657, 4033, 67467 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 5657, 4033, 67467?

Answer: HCF of 5657, 4033, 67467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5657, 4033, 67467 using Euclid's Algorithm?

Answer: For arbitrary numbers 5657, 4033, 67467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.