Highest Common Factor of 4407, 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 4407, 8384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4407, 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 4407, 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 4407, 8384 is 1.
HCF(4407, 8384) = 1
HCF of 4407, 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 4407, 8384 is 1.
Highest Common Factor of 4407,8384 is 1
Step 1: Since 8384 > 4407, we apply the division lemma to 8384 and 4407, to get
8384 = 4407 x 1 + 3977
Step 2: Since the reminder 4407 ≠ 0, we apply division lemma to 3977 and 4407, to get
4407 = 3977 x 1 + 430
Step 3: We consider the new divisor 3977 and the new remainder 430, and apply the division lemma to get
3977 = 430 x 9 + 107
We consider the new divisor 430 and the new remainder 107,and apply the division lemma to get
430 = 107 x 4 + 2
We consider the new divisor 107 and the new remainder 2,and apply the division lemma to get
107 = 2 x 53 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4407 and 8384 is 1
Notice that 1 = HCF(2,1) = HCF(107,2) = HCF(430,107) = HCF(3977,430) = HCF(4407,3977) = HCF(8384,4407) .
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Frequently Asked Questions on HCF of 4407, 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 4407, 8384?
Answer: HCF of 4407, 8384 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4407, 8384 using Euclid's Algorithm?
Answer: For arbitrary numbers 4407, 8384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.