Highest Common Factor of 673, 3160, 8159 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 673, 3160, 8159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 673, 3160, 8159 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 673, 3160, 8159 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 673, 3160, 8159 is 1.

HCF(673, 3160, 8159) = 1

HCF of 673, 3160, 8159 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 673, 3160, 8159 is 1.

Highest Common Factor of 673,3160,8159 using Euclid's algorithm

Highest Common Factor of 673,3160,8159 is 1

Step 1: Since 3160 > 673, we apply the division lemma to 3160 and 673, to get

3160 = 673 x 4 + 468

Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 468 and 673, to get

673 = 468 x 1 + 205

Step 3: We consider the new divisor 468 and the new remainder 205, and apply the division lemma to get

468 = 205 x 2 + 58

We consider the new divisor 205 and the new remainder 58,and apply the division lemma to get

205 = 58 x 3 + 31

We consider the new divisor 58 and the new remainder 31,and apply the division lemma to get

58 = 31 x 1 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 673 and 3160 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(58,31) = HCF(205,58) = HCF(468,205) = HCF(673,468) = HCF(3160,673) .

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

Step 1: Since 8159 > 1, we apply the division lemma to 8159 and 1, to get

8159 = 1 x 8159 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8159 is 1

Notice that 1 = HCF(8159,1) .

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Frequently Asked Questions on HCF of 673, 3160, 8159 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 673, 3160, 8159?

Answer: HCF of 673, 3160, 8159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 673, 3160, 8159 using Euclid's Algorithm?

Answer: For arbitrary numbers 673, 3160, 8159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.