Highest Common Factor of 6426, 5423 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 6426, 5423 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 6426, 5423 is 17 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 6426, 5423 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 6426, 5423 is 17.
HCF(6426, 5423) = 17
HCF of 6426, 5423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6426, 5423 is 17.
Highest Common Factor of 6426,5423 is 17
Step 1: Since 6426 > 5423, we apply the division lemma to 6426 and 5423, to get
6426 = 5423 x 1 + 1003
Step 2: Since the reminder 5423 ≠ 0, we apply division lemma to 1003 and 5423, to get
5423 = 1003 x 5 + 408
Step 3: We consider the new divisor 1003 and the new remainder 408, and apply the division lemma to get
1003 = 408 x 2 + 187
We consider the new divisor 408 and the new remainder 187,and apply the division lemma to get
408 = 187 x 2 + 34
We consider the new divisor 187 and the new remainder 34,and apply the division lemma to get
187 = 34 x 5 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 6426 and 5423 is 17
Notice that 17 = HCF(34,17) = HCF(187,34) = HCF(408,187) = HCF(1003,408) = HCF(5423,1003) = HCF(6426,5423) .
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Frequently Asked Questions on HCF of 6426, 5423 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 6426, 5423?
Answer: HCF of 6426, 5423 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6426, 5423 using Euclid's Algorithm?
Answer: For arbitrary numbers 6426, 5423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.