Highest Common Factor of 4323, 5889 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 4323, 5889 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4323, 5889 is 3 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 4323, 5889 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 4323, 5889 is 3.
HCF(4323, 5889) = 3
HCF of 4323, 5889 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4323, 5889 is 3.
Highest Common Factor of 4323,5889 is 3
Step 1: Since 5889 > 4323, we apply the division lemma to 5889 and 4323, to get
5889 = 4323 x 1 + 1566
Step 2: Since the reminder 4323 ≠ 0, we apply division lemma to 1566 and 4323, to get
4323 = 1566 x 2 + 1191
Step 3: We consider the new divisor 1566 and the new remainder 1191, and apply the division lemma to get
1566 = 1191 x 1 + 375
We consider the new divisor 1191 and the new remainder 375,and apply the division lemma to get
1191 = 375 x 3 + 66
We consider the new divisor 375 and the new remainder 66,and apply the division lemma to get
375 = 66 x 5 + 45
We consider the new divisor 66 and the new remainder 45,and apply the division lemma to get
66 = 45 x 1 + 21
We consider the new divisor 45 and the new remainder 21,and apply the division lemma to get
45 = 21 x 2 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4323 and 5889 is 3
Notice that 3 = HCF(21,3) = HCF(45,21) = HCF(66,45) = HCF(375,66) = HCF(1191,375) = HCF(1566,1191) = HCF(4323,1566) = HCF(5889,4323) .
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Frequently Asked Questions on HCF of 4323, 5889 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 4323, 5889?
Answer: HCF of 4323, 5889 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4323, 5889 using Euclid's Algorithm?
Answer: For arbitrary numbers 4323, 5889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.