Highest Common Factor of 8533, 6378 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 8533, 6378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8533, 6378 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 8533, 6378 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 8533, 6378 is 1.
HCF(8533, 6378) = 1
HCF of 8533, 6378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8533, 6378 is 1.
Highest Common Factor of 8533,6378 is 1
Step 1: Since 8533 > 6378, we apply the division lemma to 8533 and 6378, to get
8533 = 6378 x 1 + 2155
Step 2: Since the reminder 6378 ≠ 0, we apply division lemma to 2155 and 6378, to get
6378 = 2155 x 2 + 2068
Step 3: We consider the new divisor 2155 and the new remainder 2068, and apply the division lemma to get
2155 = 2068 x 1 + 87
We consider the new divisor 2068 and the new remainder 87,and apply the division lemma to get
2068 = 87 x 23 + 67
We consider the new divisor 87 and the new remainder 67,and apply the division lemma to get
87 = 67 x 1 + 20
We consider the new divisor 67 and the new remainder 20,and apply the division lemma to get
67 = 20 x 3 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8533 and 6378 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(67,20) = HCF(87,67) = HCF(2068,87) = HCF(2155,2068) = HCF(6378,2155) = HCF(8533,6378) .
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Frequently Asked Questions on HCF of 8533, 6378 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 8533, 6378?
Answer: HCF of 8533, 6378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8533, 6378 using Euclid's Algorithm?
Answer: For arbitrary numbers 8533, 6378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
