Highest Common Factor of 6634, 9728 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 6634, 9728 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6634, 9728 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 6634, 9728 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 6634, 9728 is 2.
HCF(6634, 9728) = 2
HCF of 6634, 9728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6634, 9728 is 2.
Highest Common Factor of 6634,9728 is 2
Step 1: Since 9728 > 6634, we apply the division lemma to 9728 and 6634, to get
9728 = 6634 x 1 + 3094
Step 2: Since the reminder 6634 ≠ 0, we apply division lemma to 3094 and 6634, to get
6634 = 3094 x 2 + 446
Step 3: We consider the new divisor 3094 and the new remainder 446, and apply the division lemma to get
3094 = 446 x 6 + 418
We consider the new divisor 446 and the new remainder 418,and apply the division lemma to get
446 = 418 x 1 + 28
We consider the new divisor 418 and the new remainder 28,and apply the division lemma to get
418 = 28 x 14 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6634 and 9728 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(418,28) = HCF(446,418) = HCF(3094,446) = HCF(6634,3094) = HCF(9728,6634) .
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Frequently Asked Questions on HCF of 6634, 9728 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 6634, 9728?
Answer: HCF of 6634, 9728 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6634, 9728 using Euclid's Algorithm?
Answer: For arbitrary numbers 6634, 9728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.