Highest Common Factor of 629, 962 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 629, 962 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 962 is 37 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 629, 962 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 629, 962 is 37.
HCF(629, 962) = 37
HCF of 629, 962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 629, 962 is 37.
Highest Common Factor of 629,962 is 37
Step 1: Since 962 > 629, we apply the division lemma to 962 and 629, to get
962 = 629 x 1 + 333
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 333 and 629, to get
629 = 333 x 1 + 296
Step 3: We consider the new divisor 333 and the new remainder 296, and apply the division lemma to get
333 = 296 x 1 + 37
We consider the new divisor 296 and the new remainder 37, and apply the division lemma to get
296 = 37 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 629 and 962 is 37
Notice that 37 = HCF(296,37) = HCF(333,296) = HCF(629,333) = HCF(962,629) .
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Frequently Asked Questions on HCF of 629, 962 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 629, 962?
Answer: HCF of 629, 962 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.