Highest Common Factor of 1062, 2462 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 1062, 2462 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1062, 2462 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 1062, 2462 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 1062, 2462 is 2.
HCF(1062, 2462) = 2
HCF of 1062, 2462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1062, 2462 is 2.
Highest Common Factor of 1062,2462 is 2
Step 1: Since 2462 > 1062, we apply the division lemma to 2462 and 1062, to get
2462 = 1062 x 2 + 338
Step 2: Since the reminder 1062 ≠ 0, we apply division lemma to 338 and 1062, to get
1062 = 338 x 3 + 48
Step 3: We consider the new divisor 338 and the new remainder 48, and apply the division lemma to get
338 = 48 x 7 + 2
We consider the new divisor 48 and the new remainder 2, and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1062 and 2462 is 2
Notice that 2 = HCF(48,2) = HCF(338,48) = HCF(1062,338) = HCF(2462,1062) .
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Frequently Asked Questions on HCF of 1062, 2462 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 1062, 2462?
Answer: HCF of 1062, 2462 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1062, 2462 using Euclid's Algorithm?
Answer: For arbitrary numbers 1062, 2462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.