Highest Common Factor of 5975, 9693 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 5975, 9693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5975, 9693 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 5975, 9693 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 5975, 9693 is 1.
HCF(5975, 9693) = 1
HCF of 5975, 9693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5975, 9693 is 1.
Highest Common Factor of 5975,9693 is 1
Step 1: Since 9693 > 5975, we apply the division lemma to 9693 and 5975, to get
9693 = 5975 x 1 + 3718
Step 2: Since the reminder 5975 ≠ 0, we apply division lemma to 3718 and 5975, to get
5975 = 3718 x 1 + 2257
Step 3: We consider the new divisor 3718 and the new remainder 2257, and apply the division lemma to get
3718 = 2257 x 1 + 1461
We consider the new divisor 2257 and the new remainder 1461,and apply the division lemma to get
2257 = 1461 x 1 + 796
We consider the new divisor 1461 and the new remainder 796,and apply the division lemma to get
1461 = 796 x 1 + 665
We consider the new divisor 796 and the new remainder 665,and apply the division lemma to get
796 = 665 x 1 + 131
We consider the new divisor 665 and the new remainder 131,and apply the division lemma to get
665 = 131 x 5 + 10
We consider the new divisor 131 and the new remainder 10,and apply the division lemma to get
131 = 10 x 13 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5975 and 9693 is 1
Notice that 1 = HCF(10,1) = HCF(131,10) = HCF(665,131) = HCF(796,665) = HCF(1461,796) = HCF(2257,1461) = HCF(3718,2257) = HCF(5975,3718) = HCF(9693,5975) .
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Frequently Asked Questions on HCF of 5975, 9693 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 5975, 9693?
Answer: HCF of 5975, 9693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5975, 9693 using Euclid's Algorithm?
Answer: For arbitrary numbers 5975, 9693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.