Highest Common Factor of 8159, 4200 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 8159, 4200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8159, 4200 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 8159, 4200 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 8159, 4200 is 1.

HCF(8159, 4200) = 1

HCF of 8159, 4200 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8159, 4200 is 1.

Highest Common Factor of 8159,4200 using Euclid's algorithm

Highest Common Factor of 8159,4200 is 1

Step 1: Since 8159 > 4200, we apply the division lemma to 8159 and 4200, to get

8159 = 4200 x 1 + 3959

Step 2: Since the reminder 4200 ≠ 0, we apply division lemma to 3959 and 4200, to get

4200 = 3959 x 1 + 241

Step 3: We consider the new divisor 3959 and the new remainder 241, and apply the division lemma to get

3959 = 241 x 16 + 103

We consider the new divisor 241 and the new remainder 103,and apply the division lemma to get

241 = 103 x 2 + 35

We consider the new divisor 103 and the new remainder 35,and apply the division lemma to get

103 = 35 x 2 + 33

We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get

35 = 33 x 1 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 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 8159 and 4200 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(103,35) = HCF(241,103) = HCF(3959,241) = HCF(4200,3959) = HCF(8159,4200) .

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Frequently Asked Questions on HCF of 8159, 4200 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 8159, 4200?

Answer: HCF of 8159, 4200 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8159, 4200 using Euclid's Algorithm?

Answer: For arbitrary numbers 8159, 4200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.