Highest Common Factor of 9106, 2862 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 9106, 2862 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9106, 2862 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 9106, 2862 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 9106, 2862 is 2.
HCF(9106, 2862) = 2
HCF of 9106, 2862 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9106, 2862 is 2.
Highest Common Factor of 9106,2862 is 2
Step 1: Since 9106 > 2862, we apply the division lemma to 9106 and 2862, to get
9106 = 2862 x 3 + 520
Step 2: Since the reminder 2862 ≠ 0, we apply division lemma to 520 and 2862, to get
2862 = 520 x 5 + 262
Step 3: We consider the new divisor 520 and the new remainder 262, and apply the division lemma to get
520 = 262 x 1 + 258
We consider the new divisor 262 and the new remainder 258,and apply the division lemma to get
262 = 258 x 1 + 4
We consider the new divisor 258 and the new remainder 4,and apply the division lemma to get
258 = 4 x 64 + 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 9106 and 2862 is 2
Notice that 2 = HCF(4,2) = HCF(258,4) = HCF(262,258) = HCF(520,262) = HCF(2862,520) = HCF(9106,2862) .
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Frequently Asked Questions on HCF of 9106, 2862 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 9106, 2862?
Answer: HCF of 9106, 2862 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9106, 2862 using Euclid's Algorithm?
Answer: For arbitrary numbers 9106, 2862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.