Highest Common Factor of 1001, 697 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 1001, 697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1001, 697 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 1001, 697 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 1001, 697 is 1.
HCF(1001, 697) = 1
HCF of 1001, 697 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1001, 697 is 1.
Highest Common Factor of 1001,697 is 1
Step 1: Since 1001 > 697, we apply the division lemma to 1001 and 697, to get
1001 = 697 x 1 + 304
Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 304 and 697, to get
697 = 304 x 2 + 89
Step 3: We consider the new divisor 304 and the new remainder 89, and apply the division lemma to get
304 = 89 x 3 + 37
We consider the new divisor 89 and the new remainder 37,and apply the division lemma to get
89 = 37 x 2 + 15
We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 1001 and 697 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(89,37) = HCF(304,89) = HCF(697,304) = HCF(1001,697) .
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Frequently Asked Questions on HCF of 1001, 697 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 1001, 697?
Answer: HCF of 1001, 697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1001, 697 using Euclid's Algorithm?
Answer: For arbitrary numbers 1001, 697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.