Highest Common Factor of 8649, 9419 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 8649, 9419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8649, 9419 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 8649, 9419 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 8649, 9419 is 1.
HCF(8649, 9419) = 1
HCF of 8649, 9419 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8649, 9419 is 1.
Highest Common Factor of 8649,9419 is 1
Step 1: Since 9419 > 8649, we apply the division lemma to 9419 and 8649, to get
9419 = 8649 x 1 + 770
Step 2: Since the reminder 8649 ≠ 0, we apply division lemma to 770 and 8649, to get
8649 = 770 x 11 + 179
Step 3: We consider the new divisor 770 and the new remainder 179, and apply the division lemma to get
770 = 179 x 4 + 54
We consider the new divisor 179 and the new remainder 54,and apply the division lemma to get
179 = 54 x 3 + 17
We consider the new divisor 54 and the new remainder 17,and apply the division lemma to get
54 = 17 x 3 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 8649 and 9419 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(54,17) = HCF(179,54) = HCF(770,179) = HCF(8649,770) = HCF(9419,8649) .
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Frequently Asked Questions on HCF of 8649, 9419 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 8649, 9419?
Answer: HCF of 8649, 9419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8649, 9419 using Euclid's Algorithm?
Answer: For arbitrary numbers 8649, 9419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
