Highest Common Factor of 9896, 9218 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 9896, 9218 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9896, 9218 is 2 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 9896, 9218 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 9896, 9218 is 2.
HCF(9896, 9218) = 2
HCF of 9896, 9218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9896, 9218 is 2.
Highest Common Factor of 9896,9218 is 2
Step 1: Since 9896 > 9218, we apply the division lemma to 9896 and 9218, to get
9896 = 9218 x 1 + 678
Step 2: Since the reminder 9218 ≠ 0, we apply division lemma to 678 and 9218, to get
9218 = 678 x 13 + 404
Step 3: We consider the new divisor 678 and the new remainder 404, and apply the division lemma to get
678 = 404 x 1 + 274
We consider the new divisor 404 and the new remainder 274,and apply the division lemma to get
404 = 274 x 1 + 130
We consider the new divisor 274 and the new remainder 130,and apply the division lemma to get
274 = 130 x 2 + 14
We consider the new divisor 130 and the new remainder 14,and apply the division lemma to get
130 = 14 x 9 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9896 and 9218 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(130,14) = HCF(274,130) = HCF(404,274) = HCF(678,404) = HCF(9218,678) = HCF(9896,9218) .
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Frequently Asked Questions on HCF of 9896, 9218 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 9896, 9218?
Answer: HCF of 9896, 9218 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9896, 9218 using Euclid's Algorithm?
Answer: For arbitrary numbers 9896, 9218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
