Highest Common Factor of 8645, 9251 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 8645, 9251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8645, 9251 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 8645, 9251 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 8645, 9251 is 1.
HCF(8645, 9251) = 1
HCF of 8645, 9251 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8645, 9251 is 1.
Highest Common Factor of 8645,9251 is 1
Step 1: Since 9251 > 8645, we apply the division lemma to 9251 and 8645, to get
9251 = 8645 x 1 + 606
Step 2: Since the reminder 8645 ≠ 0, we apply division lemma to 606 and 8645, to get
8645 = 606 x 14 + 161
Step 3: We consider the new divisor 606 and the new remainder 161, and apply the division lemma to get
606 = 161 x 3 + 123
We consider the new divisor 161 and the new remainder 123,and apply the division lemma to get
161 = 123 x 1 + 38
We consider the new divisor 123 and the new remainder 38,and apply the division lemma to get
123 = 38 x 3 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 8645 and 9251 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(123,38) = HCF(161,123) = HCF(606,161) = HCF(8645,606) = HCF(9251,8645) .
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Frequently Asked Questions on HCF of 8645, 9251 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 8645, 9251?
Answer: HCF of 8645, 9251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8645, 9251 using Euclid's Algorithm?
Answer: For arbitrary numbers 8645, 9251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.