Highest Common Factor of 7669, 8812 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 7669, 8812 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7669, 8812 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 7669, 8812 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 7669, 8812 is 1.

HCF(7669, 8812) = 1

HCF of 7669, 8812 using Euclid's algorithm

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

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Highest common factor (HCF) of 7669, 8812 is 1.

Highest Common Factor of 7669,8812 using Euclid's algorithm

Highest Common Factor of 7669,8812 is 1

Step 1: Since 8812 > 7669, we apply the division lemma to 8812 and 7669, to get

8812 = 7669 x 1 + 1143

Step 2: Since the reminder 7669 ≠ 0, we apply division lemma to 1143 and 7669, to get

7669 = 1143 x 6 + 811

Step 3: We consider the new divisor 1143 and the new remainder 811, and apply the division lemma to get

1143 = 811 x 1 + 332

We consider the new divisor 811 and the new remainder 332,and apply the division lemma to get

811 = 332 x 2 + 147

We consider the new divisor 332 and the new remainder 147,and apply the division lemma to get

332 = 147 x 2 + 38

We consider the new divisor 147 and the new remainder 38,and apply the division lemma to get

147 = 38 x 3 + 33

We consider the new divisor 38 and the new remainder 33,and apply the division lemma to get

38 = 33 x 1 + 5

We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get

33 = 5 x 6 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 7669 and 8812 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(38,33) = HCF(147,38) = HCF(332,147) = HCF(811,332) = HCF(1143,811) = HCF(7669,1143) = HCF(8812,7669) .

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Frequently Asked Questions on HCF of 7669, 8812 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 7669, 8812?

Answer: HCF of 7669, 8812 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7669, 8812 using Euclid's Algorithm?

Answer: For arbitrary numbers 7669, 8812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.