Highest Common Factor of 7175, 7636, 18707 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 7175, 7636, 18707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7175, 7636, 18707 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 7175, 7636, 18707 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 7175, 7636, 18707 is 1.

HCF(7175, 7636, 18707) = 1

HCF of 7175, 7636, 18707 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 7175, 7636, 18707 is 1.

Highest Common Factor of 7175,7636,18707 using Euclid's algorithm

Highest Common Factor of 7175,7636,18707 is 1

Step 1: Since 7636 > 7175, we apply the division lemma to 7636 and 7175, to get

7636 = 7175 x 1 + 461

Step 2: Since the reminder 7175 ≠ 0, we apply division lemma to 461 and 7175, to get

7175 = 461 x 15 + 260

Step 3: We consider the new divisor 461 and the new remainder 260, and apply the division lemma to get

461 = 260 x 1 + 201

We consider the new divisor 260 and the new remainder 201,and apply the division lemma to get

260 = 201 x 1 + 59

We consider the new divisor 201 and the new remainder 59,and apply the division lemma to get

201 = 59 x 3 + 24

We consider the new divisor 59 and the new remainder 24,and apply the division lemma to get

59 = 24 x 2 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 7175 and 7636 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(59,24) = HCF(201,59) = HCF(260,201) = HCF(461,260) = HCF(7175,461) = HCF(7636,7175) .

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

Step 1: Since 18707 > 1, we apply the division lemma to 18707 and 1, to get

18707 = 1 x 18707 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18707 is 1

Notice that 1 = HCF(18707,1) .

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Frequently Asked Questions on HCF of 7175, 7636, 18707 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 7175, 7636, 18707?

Answer: HCF of 7175, 7636, 18707 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7175, 7636, 18707 using Euclid's Algorithm?

Answer: For arbitrary numbers 7175, 7636, 18707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.