Highest Common Factor of 4006, 6076, 87269 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 4006, 6076, 87269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4006, 6076, 87269 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 4006, 6076, 87269 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 4006, 6076, 87269 is 1.

HCF(4006, 6076, 87269) = 1

HCF of 4006, 6076, 87269 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 4006, 6076, 87269 is 1.

Highest Common Factor of 4006,6076,87269 using Euclid's algorithm

Highest Common Factor of 4006,6076,87269 is 1

Step 1: Since 6076 > 4006, we apply the division lemma to 6076 and 4006, to get

6076 = 4006 x 1 + 2070

Step 2: Since the reminder 4006 ≠ 0, we apply division lemma to 2070 and 4006, to get

4006 = 2070 x 1 + 1936

Step 3: We consider the new divisor 2070 and the new remainder 1936, and apply the division lemma to get

2070 = 1936 x 1 + 134

We consider the new divisor 1936 and the new remainder 134,and apply the division lemma to get

1936 = 134 x 14 + 60

We consider the new divisor 134 and the new remainder 60,and apply the division lemma to get

134 = 60 x 2 + 14

We consider the new divisor 60 and the new remainder 14,and apply the division lemma to get

60 = 14 x 4 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4006 and 6076 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(60,14) = HCF(134,60) = HCF(1936,134) = HCF(2070,1936) = HCF(4006,2070) = HCF(6076,4006) .

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

Step 1: Since 87269 > 2, we apply the division lemma to 87269 and 2, to get

87269 = 2 x 43634 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 87269 is 1

Notice that 1 = HCF(2,1) = HCF(87269,2) .

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Frequently Asked Questions on HCF of 4006, 6076, 87269 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 4006, 6076, 87269?

Answer: HCF of 4006, 6076, 87269 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4006, 6076, 87269 using Euclid's Algorithm?

Answer: For arbitrary numbers 4006, 6076, 87269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.