Highest Common Factor of 8469, 5894 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 8469, 5894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8469, 5894 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 8469, 5894 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 8469, 5894 is 1.
HCF(8469, 5894) = 1
HCF of 8469, 5894 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8469, 5894 is 1.
Highest Common Factor of 8469,5894 is 1
Step 1: Since 8469 > 5894, we apply the division lemma to 8469 and 5894, to get
8469 = 5894 x 1 + 2575
Step 2: Since the reminder 5894 ≠ 0, we apply division lemma to 2575 and 5894, to get
5894 = 2575 x 2 + 744
Step 3: We consider the new divisor 2575 and the new remainder 744, and apply the division lemma to get
2575 = 744 x 3 + 343
We consider the new divisor 744 and the new remainder 343,and apply the division lemma to get
744 = 343 x 2 + 58
We consider the new divisor 343 and the new remainder 58,and apply the division lemma to get
343 = 58 x 5 + 53
We consider the new divisor 58 and the new remainder 53,and apply the division lemma to get
58 = 53 x 1 + 5
We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get
53 = 5 x 10 + 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 8469 and 5894 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(58,53) = HCF(343,58) = HCF(744,343) = HCF(2575,744) = HCF(5894,2575) = HCF(8469,5894) .
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Frequently Asked Questions on HCF of 8469, 5894 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 8469, 5894?
Answer: HCF of 8469, 5894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8469, 5894 using Euclid's Algorithm?
Answer: For arbitrary numbers 8469, 5894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
