Highest Common Factor of 4403, 8576 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 4403, 8576 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4403, 8576 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 4403, 8576 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 4403, 8576 is 1.
HCF(4403, 8576) = 1
HCF of 4403, 8576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4403, 8576 is 1.
Highest Common Factor of 4403,8576 is 1
Step 1: Since 8576 > 4403, we apply the division lemma to 8576 and 4403, to get
8576 = 4403 x 1 + 4173
Step 2: Since the reminder 4403 ≠ 0, we apply division lemma to 4173 and 4403, to get
4403 = 4173 x 1 + 230
Step 3: We consider the new divisor 4173 and the new remainder 230, and apply the division lemma to get
4173 = 230 x 18 + 33
We consider the new divisor 230 and the new remainder 33,and apply the division lemma to get
230 = 33 x 6 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4403 and 8576 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(230,33) = HCF(4173,230) = HCF(4403,4173) = HCF(8576,4403) .
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Frequently Asked Questions on HCF of 4403, 8576 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 4403, 8576?
Answer: HCF of 4403, 8576 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4403, 8576 using Euclid's Algorithm?
Answer: For arbitrary numbers 4403, 8576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
