Highest Common Factor of 8585, 6913 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 8585, 6913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8585, 6913 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 8585, 6913 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 8585, 6913 is 1.
HCF(8585, 6913) = 1
HCF of 8585, 6913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8585, 6913 is 1.
Highest Common Factor of 8585,6913 is 1
Step 1: Since 8585 > 6913, we apply the division lemma to 8585 and 6913, to get
8585 = 6913 x 1 + 1672
Step 2: Since the reminder 6913 ≠ 0, we apply division lemma to 1672 and 6913, to get
6913 = 1672 x 4 + 225
Step 3: We consider the new divisor 1672 and the new remainder 225, and apply the division lemma to get
1672 = 225 x 7 + 97
We consider the new divisor 225 and the new remainder 97,and apply the division lemma to get
225 = 97 x 2 + 31
We consider the new divisor 97 and the new remainder 31,and apply the division lemma to get
97 = 31 x 3 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8585 and 6913 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(97,31) = HCF(225,97) = HCF(1672,225) = HCF(6913,1672) = HCF(8585,6913) .
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Frequently Asked Questions on HCF of 8585, 6913 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 8585, 6913?
Answer: HCF of 8585, 6913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8585, 6913 using Euclid's Algorithm?
Answer: For arbitrary numbers 8585, 6913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.