Highest Common Factor of 8419, 9506 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 8419, 9506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8419, 9506 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 8419, 9506 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 8419, 9506 is 1.
HCF(8419, 9506) = 1
HCF of 8419, 9506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8419, 9506 is 1.
Highest Common Factor of 8419,9506 is 1
Step 1: Since 9506 > 8419, we apply the division lemma to 9506 and 8419, to get
9506 = 8419 x 1 + 1087
Step 2: Since the reminder 8419 ≠ 0, we apply division lemma to 1087 and 8419, to get
8419 = 1087 x 7 + 810
Step 3: We consider the new divisor 1087 and the new remainder 810, and apply the division lemma to get
1087 = 810 x 1 + 277
We consider the new divisor 810 and the new remainder 277,and apply the division lemma to get
810 = 277 x 2 + 256
We consider the new divisor 277 and the new remainder 256,and apply the division lemma to get
277 = 256 x 1 + 21
We consider the new divisor 256 and the new remainder 21,and apply the division lemma to get
256 = 21 x 12 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8419 and 9506 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(256,21) = HCF(277,256) = HCF(810,277) = HCF(1087,810) = HCF(8419,1087) = HCF(9506,8419) .
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Frequently Asked Questions on HCF of 8419, 9506 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 8419, 9506?
Answer: HCF of 8419, 9506 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8419, 9506 using Euclid's Algorithm?
Answer: For arbitrary numbers 8419, 9506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.