Highest Common Factor of 923, 4289 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 923, 4289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 4289 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 923, 4289 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 923, 4289 is 1.
HCF(923, 4289) = 1
HCF of 923, 4289 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 4289 is 1.
Highest Common Factor of 923,4289 is 1
Step 1: Since 4289 > 923, we apply the division lemma to 4289 and 923, to get
4289 = 923 x 4 + 597
Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 597 and 923, to get
923 = 597 x 1 + 326
Step 3: We consider the new divisor 597 and the new remainder 326, and apply the division lemma to get
597 = 326 x 1 + 271
We consider the new divisor 326 and the new remainder 271,and apply the division lemma to get
326 = 271 x 1 + 55
We consider the new divisor 271 and the new remainder 55,and apply the division lemma to get
271 = 55 x 4 + 51
We consider the new divisor 55 and the new remainder 51,and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 923 and 4289 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(271,55) = HCF(326,271) = HCF(597,326) = HCF(923,597) = HCF(4289,923) .
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Frequently Asked Questions on HCF of 923, 4289 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 923, 4289?
Answer: HCF of 923, 4289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 4289 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 4289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
