Highest Common Factor of 5205, 6899 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 5205, 6899 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5205, 6899 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 5205, 6899 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 5205, 6899 is 1.
HCF(5205, 6899) = 1
HCF of 5205, 6899 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5205, 6899 is 1.
Highest Common Factor of 5205,6899 is 1
Step 1: Since 6899 > 5205, we apply the division lemma to 6899 and 5205, to get
6899 = 5205 x 1 + 1694
Step 2: Since the reminder 5205 ≠ 0, we apply division lemma to 1694 and 5205, to get
5205 = 1694 x 3 + 123
Step 3: We consider the new divisor 1694 and the new remainder 123, and apply the division lemma to get
1694 = 123 x 13 + 95
We consider the new divisor 123 and the new remainder 95,and apply the division lemma to get
123 = 95 x 1 + 28
We consider the new divisor 95 and the new remainder 28,and apply the division lemma to get
95 = 28 x 3 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5205 and 6899 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(95,28) = HCF(123,95) = HCF(1694,123) = HCF(5205,1694) = HCF(6899,5205) .
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Frequently Asked Questions on HCF of 5205, 6899 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 5205, 6899?
Answer: HCF of 5205, 6899 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5205, 6899 using Euclid's Algorithm?
Answer: For arbitrary numbers 5205, 6899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.