Highest Common Factor of 727, 9827 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 727, 9827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 9827 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 727, 9827 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 727, 9827 is 1.
HCF(727, 9827) = 1
HCF of 727, 9827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 9827 is 1.
Highest Common Factor of 727,9827 is 1
Step 1: Since 9827 > 727, we apply the division lemma to 9827 and 727, to get
9827 = 727 x 13 + 376
Step 2: Since the reminder 727 ≠ 0, we apply division lemma to 376 and 727, to get
727 = 376 x 1 + 351
Step 3: We consider the new divisor 376 and the new remainder 351, and apply the division lemma to get
376 = 351 x 1 + 25
We consider the new divisor 351 and the new remainder 25,and apply the division lemma to get
351 = 25 x 14 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 727 and 9827 is 1
Notice that 1 = HCF(25,1) = HCF(351,25) = HCF(376,351) = HCF(727,376) = HCF(9827,727) .
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Frequently Asked Questions on HCF of 727, 9827 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 727, 9827?
Answer: HCF of 727, 9827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 9827 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 9827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.