Highest Common Factor of 2644, 397 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 2644, 397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2644, 397 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 2644, 397 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 2644, 397 is 1.
HCF(2644, 397) = 1
HCF of 2644, 397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2644, 397 is 1.
Highest Common Factor of 2644,397 is 1
Step 1: Since 2644 > 397, we apply the division lemma to 2644 and 397, to get
2644 = 397 x 6 + 262
Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 262 and 397, to get
397 = 262 x 1 + 135
Step 3: We consider the new divisor 262 and the new remainder 135, and apply the division lemma to get
262 = 135 x 1 + 127
We consider the new divisor 135 and the new remainder 127,and apply the division lemma to get
135 = 127 x 1 + 8
We consider the new divisor 127 and the new remainder 8,and apply the division lemma to get
127 = 8 x 15 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2644 and 397 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(127,8) = HCF(135,127) = HCF(262,135) = HCF(397,262) = HCF(2644,397) .
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Frequently Asked Questions on HCF of 2644, 397 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 2644, 397?
Answer: HCF of 2644, 397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2644, 397 using Euclid's Algorithm?
Answer: For arbitrary numbers 2644, 397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
