Highest Common Factor of 427, 2397 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 427, 2397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 427, 2397 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 427, 2397 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 427, 2397 is 1.
HCF(427, 2397) = 1
HCF of 427, 2397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 427, 2397 is 1.
Highest Common Factor of 427,2397 is 1
Step 1: Since 2397 > 427, we apply the division lemma to 2397 and 427, to get
2397 = 427 x 5 + 262
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 262 and 427, to get
427 = 262 x 1 + 165
Step 3: We consider the new divisor 262 and the new remainder 165, and apply the division lemma to get
262 = 165 x 1 + 97
We consider the new divisor 165 and the new remainder 97,and apply the division lemma to get
165 = 97 x 1 + 68
We consider the new divisor 97 and the new remainder 68,and apply the division lemma to get
97 = 68 x 1 + 29
We consider the new divisor 68 and the new remainder 29,and apply the division lemma to get
68 = 29 x 2 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 427 and 2397 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(68,29) = HCF(97,68) = HCF(165,97) = HCF(262,165) = HCF(427,262) = HCF(2397,427) .
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Frequently Asked Questions on HCF of 427, 2397 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 427, 2397?
Answer: HCF of 427, 2397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 427, 2397 using Euclid's Algorithm?
Answer: For arbitrary numbers 427, 2397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.