Highest Common Factor of 6533, 8388 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 6533, 8388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6533, 8388 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 6533, 8388 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 6533, 8388 is 1.
HCF(6533, 8388) = 1
HCF of 6533, 8388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6533, 8388 is 1.
Highest Common Factor of 6533,8388 is 1
Step 1: Since 8388 > 6533, we apply the division lemma to 8388 and 6533, to get
8388 = 6533 x 1 + 1855
Step 2: Since the reminder 6533 ≠ 0, we apply division lemma to 1855 and 6533, to get
6533 = 1855 x 3 + 968
Step 3: We consider the new divisor 1855 and the new remainder 968, and apply the division lemma to get
1855 = 968 x 1 + 887
We consider the new divisor 968 and the new remainder 887,and apply the division lemma to get
968 = 887 x 1 + 81
We consider the new divisor 887 and the new remainder 81,and apply the division lemma to get
887 = 81 x 10 + 77
We consider the new divisor 81 and the new remainder 77,and apply the division lemma to get
81 = 77 x 1 + 4
We consider the new divisor 77 and the new remainder 4,and apply the division lemma to get
77 = 4 x 19 + 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 6533 and 8388 is 1
Notice that 1 = HCF(4,1) = HCF(77,4) = HCF(81,77) = HCF(887,81) = HCF(968,887) = HCF(1855,968) = HCF(6533,1855) = HCF(8388,6533) .
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Frequently Asked Questions on HCF of 6533, 8388 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 6533, 8388?
Answer: HCF of 6533, 8388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6533, 8388 using Euclid's Algorithm?
Answer: For arbitrary numbers 6533, 8388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.