Highest Common Factor of 1346, 2529 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 1346, 2529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1346, 2529 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 1346, 2529 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 1346, 2529 is 1.

HCF(1346, 2529) = 1

HCF of 1346, 2529 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 1346, 2529 is 1.

Highest Common Factor of 1346,2529 using Euclid's algorithm

Highest Common Factor of 1346,2529 is 1

Step 1: Since 2529 > 1346, we apply the division lemma to 2529 and 1346, to get

2529 = 1346 x 1 + 1183

Step 2: Since the reminder 1346 ≠ 0, we apply division lemma to 1183 and 1346, to get

1346 = 1183 x 1 + 163

Step 3: We consider the new divisor 1183 and the new remainder 163, and apply the division lemma to get

1183 = 163 x 7 + 42

We consider the new divisor 163 and the new remainder 42,and apply the division lemma to get

163 = 42 x 3 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1346 and 2529 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(163,42) = HCF(1183,163) = HCF(1346,1183) = HCF(2529,1346) .

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Frequently Asked Questions on HCF of 1346, 2529 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 1346, 2529?

Answer: HCF of 1346, 2529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1346, 2529 using Euclid's Algorithm?

Answer: For arbitrary numbers 1346, 2529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.