Highest Common Factor of 9583, 1265 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 9583, 1265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9583, 1265 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 9583, 1265 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 9583, 1265 is 1.
HCF(9583, 1265) = 1
HCF of 9583, 1265 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9583, 1265 is 1.
Highest Common Factor of 9583,1265 is 1
Step 1: Since 9583 > 1265, we apply the division lemma to 9583 and 1265, to get
9583 = 1265 x 7 + 728
Step 2: Since the reminder 1265 ≠ 0, we apply division lemma to 728 and 1265, to get
1265 = 728 x 1 + 537
Step 3: We consider the new divisor 728 and the new remainder 537, and apply the division lemma to get
728 = 537 x 1 + 191
We consider the new divisor 537 and the new remainder 191,and apply the division lemma to get
537 = 191 x 2 + 155
We consider the new divisor 191 and the new remainder 155,and apply the division lemma to get
191 = 155 x 1 + 36
We consider the new divisor 155 and the new remainder 36,and apply the division lemma to get
155 = 36 x 4 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9583 and 1265 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(155,36) = HCF(191,155) = HCF(537,191) = HCF(728,537) = HCF(1265,728) = HCF(9583,1265) .
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Frequently Asked Questions on HCF of 9583, 1265 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 9583, 1265?
Answer: HCF of 9583, 1265 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9583, 1265 using Euclid's Algorithm?
Answer: For arbitrary numbers 9583, 1265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.