Highest Common Factor of 3460, 2633 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 3460, 2633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3460, 2633 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 3460, 2633 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 3460, 2633 is 1.

HCF(3460, 2633) = 1

HCF of 3460, 2633 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 3460, 2633 is 1.

Highest Common Factor of 3460,2633 using Euclid's algorithm

Highest Common Factor of 3460,2633 is 1

Step 1: Since 3460 > 2633, we apply the division lemma to 3460 and 2633, to get

3460 = 2633 x 1 + 827

Step 2: Since the reminder 2633 ≠ 0, we apply division lemma to 827 and 2633, to get

2633 = 827 x 3 + 152

Step 3: We consider the new divisor 827 and the new remainder 152, and apply the division lemma to get

827 = 152 x 5 + 67

We consider the new divisor 152 and the new remainder 67,and apply the division lemma to get

152 = 67 x 2 + 18

We consider the new divisor 67 and the new remainder 18,and apply the division lemma to get

67 = 18 x 3 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 3460 and 2633 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(67,18) = HCF(152,67) = HCF(827,152) = HCF(2633,827) = HCF(3460,2633) .

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Frequently Asked Questions on HCF of 3460, 2633 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 3460, 2633?

Answer: HCF of 3460, 2633 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3460, 2633 using Euclid's Algorithm?

Answer: For arbitrary numbers 3460, 2633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.