Highest Common Factor of 4159, 7988 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 4159, 7988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4159, 7988 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 4159, 7988 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 4159, 7988 is 1.

HCF(4159, 7988) = 1

HCF of 4159, 7988 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 4159, 7988 is 1.

Highest Common Factor of 4159,7988 using Euclid's algorithm

Highest Common Factor of 4159,7988 is 1

Step 1: Since 7988 > 4159, we apply the division lemma to 7988 and 4159, to get

7988 = 4159 x 1 + 3829

Step 2: Since the reminder 4159 ≠ 0, we apply division lemma to 3829 and 4159, to get

4159 = 3829 x 1 + 330

Step 3: We consider the new divisor 3829 and the new remainder 330, and apply the division lemma to get

3829 = 330 x 11 + 199

We consider the new divisor 330 and the new remainder 199,and apply the division lemma to get

330 = 199 x 1 + 131

We consider the new divisor 199 and the new remainder 131,and apply the division lemma to get

199 = 131 x 1 + 68

We consider the new divisor 131 and the new remainder 68,and apply the division lemma to get

131 = 68 x 1 + 63

We consider the new divisor 68 and the new remainder 63,and apply the division lemma to get

68 = 63 x 1 + 5

We consider the new divisor 63 and the new remainder 5,and apply the division lemma to get

63 = 5 x 12 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 4159 and 7988 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(63,5) = HCF(68,63) = HCF(131,68) = HCF(199,131) = HCF(330,199) = HCF(3829,330) = HCF(4159,3829) = HCF(7988,4159) .

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Frequently Asked Questions on HCF of 4159, 7988 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 4159, 7988?

Answer: HCF of 4159, 7988 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4159, 7988 using Euclid's Algorithm?

Answer: For arbitrary numbers 4159, 7988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.