Highest Common Factor of 2089, 3522 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 2089, 3522 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2089, 3522 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 2089, 3522 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 2089, 3522 is 1.

HCF(2089, 3522) = 1

HCF of 2089, 3522 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 2089, 3522 is 1.

Highest Common Factor of 2089,3522 using Euclid's algorithm

Highest Common Factor of 2089,3522 is 1

Step 1: Since 3522 > 2089, we apply the division lemma to 3522 and 2089, to get

3522 = 2089 x 1 + 1433

Step 2: Since the reminder 2089 ≠ 0, we apply division lemma to 1433 and 2089, to get

2089 = 1433 x 1 + 656

Step 3: We consider the new divisor 1433 and the new remainder 656, and apply the division lemma to get

1433 = 656 x 2 + 121

We consider the new divisor 656 and the new remainder 121,and apply the division lemma to get

656 = 121 x 5 + 51

We consider the new divisor 121 and the new remainder 51,and apply the division lemma to get

121 = 51 x 2 + 19

We consider the new divisor 51 and the new remainder 19,and apply the division lemma to get

51 = 19 x 2 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2089 and 3522 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(51,19) = HCF(121,51) = HCF(656,121) = HCF(1433,656) = HCF(2089,1433) = HCF(3522,2089) .

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Frequently Asked Questions on HCF of 2089, 3522 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 2089, 3522?

Answer: HCF of 2089, 3522 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2089, 3522 using Euclid's Algorithm?

Answer: For arbitrary numbers 2089, 3522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.