Highest Common Factor of 1741, 1357 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 1741, 1357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1741, 1357 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 1741, 1357 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 1741, 1357 is 1.

HCF(1741, 1357) = 1

HCF of 1741, 1357 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 1741, 1357 is 1.

Highest Common Factor of 1741,1357 using Euclid's algorithm

Highest Common Factor of 1741,1357 is 1

Step 1: Since 1741 > 1357, we apply the division lemma to 1741 and 1357, to get

1741 = 1357 x 1 + 384

Step 2: Since the reminder 1357 ≠ 0, we apply division lemma to 384 and 1357, to get

1357 = 384 x 3 + 205

Step 3: We consider the new divisor 384 and the new remainder 205, and apply the division lemma to get

384 = 205 x 1 + 179

We consider the new divisor 205 and the new remainder 179,and apply the division lemma to get

205 = 179 x 1 + 26

We consider the new divisor 179 and the new remainder 26,and apply the division lemma to get

179 = 26 x 6 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 1741 and 1357 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(179,26) = HCF(205,179) = HCF(384,205) = HCF(1357,384) = HCF(1741,1357) .

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Frequently Asked Questions on HCF of 1741, 1357 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 1741, 1357?

Answer: HCF of 1741, 1357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1741, 1357 using Euclid's Algorithm?

Answer: For arbitrary numbers 1741, 1357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.