Highest Common Factor of 2953, 6729 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 2953, 6729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2953, 6729 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 2953, 6729 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 2953, 6729 is 1.
HCF(2953, 6729) = 1
HCF of 2953, 6729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2953, 6729 is 1.
Highest Common Factor of 2953,6729 is 1
Step 1: Since 6729 > 2953, we apply the division lemma to 6729 and 2953, to get
6729 = 2953 x 2 + 823
Step 2: Since the reminder 2953 ≠ 0, we apply division lemma to 823 and 2953, to get
2953 = 823 x 3 + 484
Step 3: We consider the new divisor 823 and the new remainder 484, and apply the division lemma to get
823 = 484 x 1 + 339
We consider the new divisor 484 and the new remainder 339,and apply the division lemma to get
484 = 339 x 1 + 145
We consider the new divisor 339 and the new remainder 145,and apply the division lemma to get
339 = 145 x 2 + 49
We consider the new divisor 145 and the new remainder 49,and apply the division lemma to get
145 = 49 x 2 + 47
We consider the new divisor 49 and the new remainder 47,and apply the division lemma to get
49 = 47 x 1 + 2
We consider the new divisor 47 and the new remainder 2,and apply the division lemma to get
47 = 2 x 23 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2953 and 6729 is 1
Notice that 1 = HCF(2,1) = HCF(47,2) = HCF(49,47) = HCF(145,49) = HCF(339,145) = HCF(484,339) = HCF(823,484) = HCF(2953,823) = HCF(6729,2953) .
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Frequently Asked Questions on HCF of 2953, 6729 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 2953, 6729?
Answer: HCF of 2953, 6729 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2953, 6729 using Euclid's Algorithm?
Answer: For arbitrary numbers 2953, 6729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.