Highest Common Factor of 6905, 9029 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 6905, 9029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6905, 9029 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 6905, 9029 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 6905, 9029 is 1.
HCF(6905, 9029) = 1
HCF of 6905, 9029 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6905, 9029 is 1.
Highest Common Factor of 6905,9029 is 1
Step 1: Since 9029 > 6905, we apply the division lemma to 9029 and 6905, to get
9029 = 6905 x 1 + 2124
Step 2: Since the reminder 6905 ≠ 0, we apply division lemma to 2124 and 6905, to get
6905 = 2124 x 3 + 533
Step 3: We consider the new divisor 2124 and the new remainder 533, and apply the division lemma to get
2124 = 533 x 3 + 525
We consider the new divisor 533 and the new remainder 525,and apply the division lemma to get
533 = 525 x 1 + 8
We consider the new divisor 525 and the new remainder 8,and apply the division lemma to get
525 = 8 x 65 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6905 and 9029 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(525,8) = HCF(533,525) = HCF(2124,533) = HCF(6905,2124) = HCF(9029,6905) .
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Frequently Asked Questions on HCF of 6905, 9029 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 6905, 9029?
Answer: HCF of 6905, 9029 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6905, 9029 using Euclid's Algorithm?
Answer: For arbitrary numbers 6905, 9029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.