Highest Common Factor of 2333, 8384 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 2333, 8384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2333, 8384 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 2333, 8384 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 2333, 8384 is 1.
HCF(2333, 8384) = 1
HCF of 2333, 8384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2333, 8384 is 1.
Highest Common Factor of 2333,8384 is 1
Step 1: Since 8384 > 2333, we apply the division lemma to 8384 and 2333, to get
8384 = 2333 x 3 + 1385
Step 2: Since the reminder 2333 ≠ 0, we apply division lemma to 1385 and 2333, to get
2333 = 1385 x 1 + 948
Step 3: We consider the new divisor 1385 and the new remainder 948, and apply the division lemma to get
1385 = 948 x 1 + 437
We consider the new divisor 948 and the new remainder 437,and apply the division lemma to get
948 = 437 x 2 + 74
We consider the new divisor 437 and the new remainder 74,and apply the division lemma to get
437 = 74 x 5 + 67
We consider the new divisor 74 and the new remainder 67,and apply the division lemma to get
74 = 67 x 1 + 7
We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get
67 = 7 x 9 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 2333 and 8384 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(74,67) = HCF(437,74) = HCF(948,437) = HCF(1385,948) = HCF(2333,1385) = HCF(8384,2333) .
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Frequently Asked Questions on HCF of 2333, 8384 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 2333, 8384?
Answer: HCF of 2333, 8384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2333, 8384 using Euclid's Algorithm?
Answer: For arbitrary numbers 2333, 8384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.