Highest Common Factor of 9283, 2737 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 9283, 2737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9283, 2737 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 9283, 2737 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 9283, 2737 is 1.
HCF(9283, 2737) = 1
HCF of 9283, 2737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9283, 2737 is 1.
Highest Common Factor of 9283,2737 is 1
Step 1: Since 9283 > 2737, we apply the division lemma to 9283 and 2737, to get
9283 = 2737 x 3 + 1072
Step 2: Since the reminder 2737 ≠ 0, we apply division lemma to 1072 and 2737, to get
2737 = 1072 x 2 + 593
Step 3: We consider the new divisor 1072 and the new remainder 593, and apply the division lemma to get
1072 = 593 x 1 + 479
We consider the new divisor 593 and the new remainder 479,and apply the division lemma to get
593 = 479 x 1 + 114
We consider the new divisor 479 and the new remainder 114,and apply the division lemma to get
479 = 114 x 4 + 23
We consider the new divisor 114 and the new remainder 23,and apply the division lemma to get
114 = 23 x 4 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9283 and 2737 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(114,23) = HCF(479,114) = HCF(593,479) = HCF(1072,593) = HCF(2737,1072) = HCF(9283,2737) .
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Frequently Asked Questions on HCF of 9283, 2737 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 9283, 2737?
Answer: HCF of 9283, 2737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9283, 2737 using Euclid's Algorithm?
Answer: For arbitrary numbers 9283, 2737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
