Highest Common Factor of 9162, 1610 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 9162, 1610 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9162, 1610 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 9162, 1610 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 9162, 1610 is 2.
HCF(9162, 1610) = 2
HCF of 9162, 1610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9162, 1610 is 2.
Highest Common Factor of 9162,1610 is 2
Step 1: Since 9162 > 1610, we apply the division lemma to 9162 and 1610, to get
9162 = 1610 x 5 + 1112
Step 2: Since the reminder 1610 ≠ 0, we apply division lemma to 1112 and 1610, to get
1610 = 1112 x 1 + 498
Step 3: We consider the new divisor 1112 and the new remainder 498, and apply the division lemma to get
1112 = 498 x 2 + 116
We consider the new divisor 498 and the new remainder 116,and apply the division lemma to get
498 = 116 x 4 + 34
We consider the new divisor 116 and the new remainder 34,and apply the division lemma to get
116 = 34 x 3 + 14
We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9162 and 1610 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(116,34) = HCF(498,116) = HCF(1112,498) = HCF(1610,1112) = HCF(9162,1610) .
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Frequently Asked Questions on HCF of 9162, 1610 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 9162, 1610?
Answer: HCF of 9162, 1610 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9162, 1610 using Euclid's Algorithm?
Answer: For arbitrary numbers 9162, 1610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.