Highest Common Factor of 9386, 5162 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 9386, 5162 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9386, 5162 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 9386, 5162 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 9386, 5162 is 2.
HCF(9386, 5162) = 2
HCF of 9386, 5162 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9386, 5162 is 2.
Highest Common Factor of 9386,5162 is 2
Step 1: Since 9386 > 5162, we apply the division lemma to 9386 and 5162, to get
9386 = 5162 x 1 + 4224
Step 2: Since the reminder 5162 ≠ 0, we apply division lemma to 4224 and 5162, to get
5162 = 4224 x 1 + 938
Step 3: We consider the new divisor 4224 and the new remainder 938, and apply the division lemma to get
4224 = 938 x 4 + 472
We consider the new divisor 938 and the new remainder 472,and apply the division lemma to get
938 = 472 x 1 + 466
We consider the new divisor 472 and the new remainder 466,and apply the division lemma to get
472 = 466 x 1 + 6
We consider the new divisor 466 and the new remainder 6,and apply the division lemma to get
466 = 6 x 77 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 9386 and 5162 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(466,6) = HCF(472,466) = HCF(938,472) = HCF(4224,938) = HCF(5162,4224) = HCF(9386,5162) .
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Frequently Asked Questions on HCF of 9386, 5162 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 9386, 5162?
Answer: HCF of 9386, 5162 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9386, 5162 using Euclid's Algorithm?
Answer: For arbitrary numbers 9386, 5162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.