Highest Common Factor of 2383, 8856 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 2383, 8856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2383, 8856 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 2383, 8856 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 2383, 8856 is 1.
HCF(2383, 8856) = 1
HCF of 2383, 8856 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2383, 8856 is 1.
Highest Common Factor of 2383,8856 is 1
Step 1: Since 8856 > 2383, we apply the division lemma to 8856 and 2383, to get
8856 = 2383 x 3 + 1707
Step 2: Since the reminder 2383 ≠ 0, we apply division lemma to 1707 and 2383, to get
2383 = 1707 x 1 + 676
Step 3: We consider the new divisor 1707 and the new remainder 676, and apply the division lemma to get
1707 = 676 x 2 + 355
We consider the new divisor 676 and the new remainder 355,and apply the division lemma to get
676 = 355 x 1 + 321
We consider the new divisor 355 and the new remainder 321,and apply the division lemma to get
355 = 321 x 1 + 34
We consider the new divisor 321 and the new remainder 34,and apply the division lemma to get
321 = 34 x 9 + 15
We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get
34 = 15 x 2 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 2383 and 8856 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(321,34) = HCF(355,321) = HCF(676,355) = HCF(1707,676) = HCF(2383,1707) = HCF(8856,2383) .
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Frequently Asked Questions on HCF of 2383, 8856 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 2383, 8856?
Answer: HCF of 2383, 8856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2383, 8856 using Euclid's Algorithm?
Answer: For arbitrary numbers 2383, 8856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
