Highest Common Factor of 7199, 3161 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 7199, 3161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7199, 3161 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 7199, 3161 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 7199, 3161 is 1.

HCF(7199, 3161) = 1

HCF of 7199, 3161 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 7199, 3161 is 1.

Highest Common Factor of 7199,3161 using Euclid's algorithm

Highest Common Factor of 7199,3161 is 1

Step 1: Since 7199 > 3161, we apply the division lemma to 7199 and 3161, to get

7199 = 3161 x 2 + 877

Step 2: Since the reminder 3161 ≠ 0, we apply division lemma to 877 and 3161, to get

3161 = 877 x 3 + 530

Step 3: We consider the new divisor 877 and the new remainder 530, and apply the division lemma to get

877 = 530 x 1 + 347

We consider the new divisor 530 and the new remainder 347,and apply the division lemma to get

530 = 347 x 1 + 183

We consider the new divisor 347 and the new remainder 183,and apply the division lemma to get

347 = 183 x 1 + 164

We consider the new divisor 183 and the new remainder 164,and apply the division lemma to get

183 = 164 x 1 + 19

We consider the new divisor 164 and the new remainder 19,and apply the division lemma to get

164 = 19 x 8 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7199 and 3161 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(164,19) = HCF(183,164) = HCF(347,183) = HCF(530,347) = HCF(877,530) = HCF(3161,877) = HCF(7199,3161) .

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Frequently Asked Questions on HCF of 7199, 3161 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 7199, 3161?

Answer: HCF of 7199, 3161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7199, 3161 using Euclid's Algorithm?

Answer: For arbitrary numbers 7199, 3161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.