Highest Common Factor of 629, 76483 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, 76483 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 76483 is 17 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, 76483 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, 76483 is 17.
HCF(629, 76483) = 17
HCF of 629, 76483 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, 76483 is 17.
Highest Common Factor of 629,76483 is 17
Step 1: Since 76483 > 629, we apply the division lemma to 76483 and 629, to get
76483 = 629 x 121 + 374
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 374 and 629, to get
629 = 374 x 1 + 255
Step 3: We consider the new divisor 374 and the new remainder 255, and apply the division lemma to get
374 = 255 x 1 + 119
We consider the new divisor 255 and the new remainder 119,and apply the division lemma to get
255 = 119 x 2 + 17
We consider the new divisor 119 and the new remainder 17,and apply the division lemma to get
119 = 17 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 629 and 76483 is 17
Notice that 17 = HCF(119,17) = HCF(255,119) = HCF(374,255) = HCF(629,374) = HCF(76483,629) .
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Frequently Asked Questions on HCF of 629, 76483 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, 76483?
Answer: HCF of 629, 76483 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 76483 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 76483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.