Highest Common Factor of 8624, 1761 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 8624, 1761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8624, 1761 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 8624, 1761 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 8624, 1761 is 1.

HCF(8624, 1761) = 1

HCF of 8624, 1761 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 8624, 1761 is 1.

Highest Common Factor of 8624,1761 using Euclid's algorithm

Highest Common Factor of 8624,1761 is 1

Step 1: Since 8624 > 1761, we apply the division lemma to 8624 and 1761, to get

8624 = 1761 x 4 + 1580

Step 2: Since the reminder 1761 ≠ 0, we apply division lemma to 1580 and 1761, to get

1761 = 1580 x 1 + 181

Step 3: We consider the new divisor 1580 and the new remainder 181, and apply the division lemma to get

1580 = 181 x 8 + 132

We consider the new divisor 181 and the new remainder 132,and apply the division lemma to get

181 = 132 x 1 + 49

We consider the new divisor 132 and the new remainder 49,and apply the division lemma to get

132 = 49 x 2 + 34

We consider the new divisor 49 and the new remainder 34,and apply the division lemma to get

49 = 34 x 1 + 15

We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get

34 = 15 x 2 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8624 and 1761 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(49,34) = HCF(132,49) = HCF(181,132) = HCF(1580,181) = HCF(1761,1580) = HCF(8624,1761) .

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Frequently Asked Questions on HCF of 8624, 1761 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 8624, 1761?

Answer: HCF of 8624, 1761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8624, 1761 using Euclid's Algorithm?

Answer: For arbitrary numbers 8624, 1761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.