Highest Common Factor of 4343, 5289 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 4343, 5289 i.e. 43 the largest integer that leaves a remainder zero for all numbers.
HCF of 4343, 5289 is 43 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 4343, 5289 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 4343, 5289 is 43.
HCF(4343, 5289) = 43
HCF of 4343, 5289 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4343, 5289 is 43.
Highest Common Factor of 4343,5289 is 43
Step 1: Since 5289 > 4343, we apply the division lemma to 5289 and 4343, to get
5289 = 4343 x 1 + 946
Step 2: Since the reminder 4343 ≠ 0, we apply division lemma to 946 and 4343, to get
4343 = 946 x 4 + 559
Step 3: We consider the new divisor 946 and the new remainder 559, and apply the division lemma to get
946 = 559 x 1 + 387
We consider the new divisor 559 and the new remainder 387,and apply the division lemma to get
559 = 387 x 1 + 172
We consider the new divisor 387 and the new remainder 172,and apply the division lemma to get
387 = 172 x 2 + 43
We consider the new divisor 172 and the new remainder 43,and apply the division lemma to get
172 = 43 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 4343 and 5289 is 43
Notice that 43 = HCF(172,43) = HCF(387,172) = HCF(559,387) = HCF(946,559) = HCF(4343,946) = HCF(5289,4343) .
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Frequently Asked Questions on HCF of 4343, 5289 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 4343, 5289?
Answer: HCF of 4343, 5289 is 43 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4343, 5289 using Euclid's Algorithm?
Answer: For arbitrary numbers 4343, 5289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.