Highest Common Factor of 8576, 2344 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 8576, 2344 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8576, 2344 is 8 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 8576, 2344 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 8576, 2344 is 8.
HCF(8576, 2344) = 8
HCF of 8576, 2344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8576, 2344 is 8.
Highest Common Factor of 8576,2344 is 8
Step 1: Since 8576 > 2344, we apply the division lemma to 8576 and 2344, to get
8576 = 2344 x 3 + 1544
Step 2: Since the reminder 2344 ≠ 0, we apply division lemma to 1544 and 2344, to get
2344 = 1544 x 1 + 800
Step 3: We consider the new divisor 1544 and the new remainder 800, and apply the division lemma to get
1544 = 800 x 1 + 744
We consider the new divisor 800 and the new remainder 744,and apply the division lemma to get
800 = 744 x 1 + 56
We consider the new divisor 744 and the new remainder 56,and apply the division lemma to get
744 = 56 x 13 + 16
We consider the new divisor 56 and the new remainder 16,and apply the division lemma to get
56 = 16 x 3 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8576 and 2344 is 8
Notice that 8 = HCF(16,8) = HCF(56,16) = HCF(744,56) = HCF(800,744) = HCF(1544,800) = HCF(2344,1544) = HCF(8576,2344) .
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Frequently Asked Questions on HCF of 8576, 2344 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 8576, 2344?
Answer: HCF of 8576, 2344 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8576, 2344 using Euclid's Algorithm?
Answer: For arbitrary numbers 8576, 2344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.