Highest Common Factor of 328, 28747 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 328, 28747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 328, 28747 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 328, 28747 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 328, 28747 is 1.
HCF(328, 28747) = 1
HCF of 328, 28747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 328, 28747 is 1.
Highest Common Factor of 328,28747 is 1
Step 1: Since 28747 > 328, we apply the division lemma to 28747 and 328, to get
28747 = 328 x 87 + 211
Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 211 and 328, to get
328 = 211 x 1 + 117
Step 3: We consider the new divisor 211 and the new remainder 117, and apply the division lemma to get
211 = 117 x 1 + 94
We consider the new divisor 117 and the new remainder 94,and apply the division lemma to get
117 = 94 x 1 + 23
We consider the new divisor 94 and the new remainder 23,and apply the division lemma to get
94 = 23 x 4 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 328 and 28747 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(94,23) = HCF(117,94) = HCF(211,117) = HCF(328,211) = HCF(28747,328) .
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Frequently Asked Questions on HCF of 328, 28747 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 328, 28747?
Answer: HCF of 328, 28747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 328, 28747 using Euclid's Algorithm?
Answer: For arbitrary numbers 328, 28747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.