Highest Common Factor of 168, 697, 184, 11 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 168, 697, 184, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 168, 697, 184, 11 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 168, 697, 184, 11 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 168, 697, 184, 11 is 1.

HCF(168, 697, 184, 11) = 1

HCF of 168, 697, 184, 11 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 168, 697, 184, 11 is 1.

Highest Common Factor of 168,697,184,11 using Euclid's algorithm

Highest Common Factor of 168,697,184,11 is 1

Step 1: Since 697 > 168, we apply the division lemma to 697 and 168, to get

697 = 168 x 4 + 25

Step 2: Since the reminder 168 ≠ 0, we apply division lemma to 25 and 168, to get

168 = 25 x 6 + 18

Step 3: We consider the new divisor 25 and the new remainder 18, and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 168 and 697 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(168,25) = HCF(697,168) .

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

Step 1: Since 184 > 1, we apply the division lemma to 184 and 1, to get

184 = 1 x 184 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 184 is 1

Notice that 1 = HCF(184,1) .

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

Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1

Notice that 1 = HCF(11,1) .

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Frequently Asked Questions on HCF of 168, 697, 184, 11 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 168, 697, 184, 11?

Answer: HCF of 168, 697, 184, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 168, 697, 184, 11 using Euclid's Algorithm?

Answer: For arbitrary numbers 168, 697, 184, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.