Highest Common Factor of 9262, 3406 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 9262, 3406 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9262, 3406 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 9262, 3406 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 9262, 3406 is 2.
HCF(9262, 3406) = 2
HCF of 9262, 3406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9262, 3406 is 2.
Highest Common Factor of 9262,3406 is 2
Step 1: Since 9262 > 3406, we apply the division lemma to 9262 and 3406, to get
9262 = 3406 x 2 + 2450
Step 2: Since the reminder 3406 ≠ 0, we apply division lemma to 2450 and 3406, to get
3406 = 2450 x 1 + 956
Step 3: We consider the new divisor 2450 and the new remainder 956, and apply the division lemma to get
2450 = 956 x 2 + 538
We consider the new divisor 956 and the new remainder 538,and apply the division lemma to get
956 = 538 x 1 + 418
We consider the new divisor 538 and the new remainder 418,and apply the division lemma to get
538 = 418 x 1 + 120
We consider the new divisor 418 and the new remainder 120,and apply the division lemma to get
418 = 120 x 3 + 58
We consider the new divisor 120 and the new remainder 58,and apply the division lemma to get
120 = 58 x 2 + 4
We consider the new divisor 58 and the new remainder 4,and apply the division lemma to get
58 = 4 x 14 + 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 9262 and 3406 is 2
Notice that 2 = HCF(4,2) = HCF(58,4) = HCF(120,58) = HCF(418,120) = HCF(538,418) = HCF(956,538) = HCF(2450,956) = HCF(3406,2450) = HCF(9262,3406) .
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Frequently Asked Questions on HCF of 9262, 3406 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 9262, 3406?
Answer: HCF of 9262, 3406 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9262, 3406 using Euclid's Algorithm?
Answer: For arbitrary numbers 9262, 3406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.