Highest Common Factor of 5646, 6439 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 5646, 6439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5646, 6439 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 5646, 6439 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 5646, 6439 is 1.
HCF(5646, 6439) = 1
HCF of 5646, 6439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5646, 6439 is 1.
Highest Common Factor of 5646,6439 is 1
Step 1: Since 6439 > 5646, we apply the division lemma to 6439 and 5646, to get
6439 = 5646 x 1 + 793
Step 2: Since the reminder 5646 ≠ 0, we apply division lemma to 793 and 5646, to get
5646 = 793 x 7 + 95
Step 3: We consider the new divisor 793 and the new remainder 95, and apply the division lemma to get
793 = 95 x 8 + 33
We consider the new divisor 95 and the new remainder 33,and apply the division lemma to get
95 = 33 x 2 + 29
We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get
33 = 29 x 1 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5646 and 6439 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(95,33) = HCF(793,95) = HCF(5646,793) = HCF(6439,5646) .
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Frequently Asked Questions on HCF of 5646, 6439 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 5646, 6439?
Answer: HCF of 5646, 6439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5646, 6439 using Euclid's Algorithm?
Answer: For arbitrary numbers 5646, 6439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.