Highest Common Factor of 1723, 4354 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 1723, 4354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1723, 4354 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 1723, 4354 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 1723, 4354 is 1.

HCF(1723, 4354) = 1

HCF of 1723, 4354 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 1723, 4354 is 1.

Highest Common Factor of 1723,4354 using Euclid's algorithm

Highest Common Factor of 1723,4354 is 1

Step 1: Since 4354 > 1723, we apply the division lemma to 4354 and 1723, to get

4354 = 1723 x 2 + 908

Step 2: Since the reminder 1723 ≠ 0, we apply division lemma to 908 and 1723, to get

1723 = 908 x 1 + 815

Step 3: We consider the new divisor 908 and the new remainder 815, and apply the division lemma to get

908 = 815 x 1 + 93

We consider the new divisor 815 and the new remainder 93,and apply the division lemma to get

815 = 93 x 8 + 71

We consider the new divisor 93 and the new remainder 71,and apply the division lemma to get

93 = 71 x 1 + 22

We consider the new divisor 71 and the new remainder 22,and apply the division lemma to get

71 = 22 x 3 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 1723 and 4354 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(71,22) = HCF(93,71) = HCF(815,93) = HCF(908,815) = HCF(1723,908) = HCF(4354,1723) .

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Frequently Asked Questions on HCF of 1723, 4354 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 1723, 4354?

Answer: HCF of 1723, 4354 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1723, 4354 using Euclid's Algorithm?

Answer: For arbitrary numbers 1723, 4354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.