Highest Common Factor of 5423, 6564 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 5423, 6564 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5423, 6564 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 5423, 6564 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 5423, 6564 is 1.
HCF(5423, 6564) = 1
HCF of 5423, 6564 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5423, 6564 is 1.
Highest Common Factor of 5423,6564 is 1
Step 1: Since 6564 > 5423, we apply the division lemma to 6564 and 5423, to get
6564 = 5423 x 1 + 1141
Step 2: Since the reminder 5423 ≠ 0, we apply division lemma to 1141 and 5423, to get
5423 = 1141 x 4 + 859
Step 3: We consider the new divisor 1141 and the new remainder 859, and apply the division lemma to get
1141 = 859 x 1 + 282
We consider the new divisor 859 and the new remainder 282,and apply the division lemma to get
859 = 282 x 3 + 13
We consider the new divisor 282 and the new remainder 13,and apply the division lemma to get
282 = 13 x 21 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 5423 and 6564 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(282,13) = HCF(859,282) = HCF(1141,859) = HCF(5423,1141) = HCF(6564,5423) .
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Frequently Asked Questions on HCF of 5423, 6564 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 5423, 6564?
Answer: HCF of 5423, 6564 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5423, 6564 using Euclid's Algorithm?
Answer: For arbitrary numbers 5423, 6564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.