Highest Common Factor of 1626, 4159 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 1626, 4159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1626, 4159 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 1626, 4159 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 1626, 4159 is 1.

HCF(1626, 4159) = 1

HCF of 1626, 4159 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 1626, 4159 is 1.

Highest Common Factor of 1626,4159 using Euclid's algorithm

Highest Common Factor of 1626,4159 is 1

Step 1: Since 4159 > 1626, we apply the division lemma to 4159 and 1626, to get

4159 = 1626 x 2 + 907

Step 2: Since the reminder 1626 ≠ 0, we apply division lemma to 907 and 1626, to get

1626 = 907 x 1 + 719

Step 3: We consider the new divisor 907 and the new remainder 719, and apply the division lemma to get

907 = 719 x 1 + 188

We consider the new divisor 719 and the new remainder 188,and apply the division lemma to get

719 = 188 x 3 + 155

We consider the new divisor 188 and the new remainder 155,and apply the division lemma to get

188 = 155 x 1 + 33

We consider the new divisor 155 and the new remainder 33,and apply the division lemma to get

155 = 33 x 4 + 23

We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get

33 = 23 x 1 + 10

We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get

23 = 10 x 2 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 1626 and 4159 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(155,33) = HCF(188,155) = HCF(719,188) = HCF(907,719) = HCF(1626,907) = HCF(4159,1626) .

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Frequently Asked Questions on HCF of 1626, 4159 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 1626, 4159?

Answer: HCF of 1626, 4159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1626, 4159 using Euclid's Algorithm?

Answer: For arbitrary numbers 1626, 4159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.