Highest Common Factor of 629, 62996 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, 62996 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 62996 is 1 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, 62996 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, 62996 is 1.
HCF(629, 62996) = 1
HCF of 629, 62996 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, 62996 is 1.
Highest Common Factor of 629,62996 is 1
Step 1: Since 62996 > 629, we apply the division lemma to 62996 and 629, to get
62996 = 629 x 100 + 96
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 96 and 629, to get
629 = 96 x 6 + 53
Step 3: We consider the new divisor 96 and the new remainder 53, and apply the division lemma to get
96 = 53 x 1 + 43
We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get
53 = 43 x 1 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 629 and 62996 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(96,53) = HCF(629,96) = HCF(62996,629) .
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Frequently Asked Questions on HCF of 629, 62996 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, 62996?
Answer: HCF of 629, 62996 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 62996 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 62996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.