Highest Common Factor of 6573, 8438 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 6573, 8438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6573, 8438 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 6573, 8438 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 6573, 8438 is 1.
HCF(6573, 8438) = 1
HCF of 6573, 8438 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6573, 8438 is 1.
Highest Common Factor of 6573,8438 is 1
Step 1: Since 8438 > 6573, we apply the division lemma to 8438 and 6573, to get
8438 = 6573 x 1 + 1865
Step 2: Since the reminder 6573 ≠ 0, we apply division lemma to 1865 and 6573, to get
6573 = 1865 x 3 + 978
Step 3: We consider the new divisor 1865 and the new remainder 978, and apply the division lemma to get
1865 = 978 x 1 + 887
We consider the new divisor 978 and the new remainder 887,and apply the division lemma to get
978 = 887 x 1 + 91
We consider the new divisor 887 and the new remainder 91,and apply the division lemma to get
887 = 91 x 9 + 68
We consider the new divisor 91 and the new remainder 68,and apply the division lemma to get
91 = 68 x 1 + 23
We consider the new divisor 68 and the new remainder 23,and apply the division lemma to get
68 = 23 x 2 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6573 and 8438 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(91,68) = HCF(887,91) = HCF(978,887) = HCF(1865,978) = HCF(6573,1865) = HCF(8438,6573) .
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Frequently Asked Questions on HCF of 6573, 8438 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 6573, 8438?
Answer: HCF of 6573, 8438 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6573, 8438 using Euclid's Algorithm?
Answer: For arbitrary numbers 6573, 8438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.