Highest Common Factor of 697, 3758 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 697, 3758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 697, 3758 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 697, 3758 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 697, 3758 is 1.
HCF(697, 3758) = 1
HCF of 697, 3758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 697, 3758 is 1.
Highest Common Factor of 697,3758 is 1
Step 1: Since 3758 > 697, we apply the division lemma to 3758 and 697, to get
3758 = 697 x 5 + 273
Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 273 and 697, to get
697 = 273 x 2 + 151
Step 3: We consider the new divisor 273 and the new remainder 151, and apply the division lemma to get
273 = 151 x 1 + 122
We consider the new divisor 151 and the new remainder 122,and apply the division lemma to get
151 = 122 x 1 + 29
We consider the new divisor 122 and the new remainder 29,and apply the division lemma to get
122 = 29 x 4 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 697 and 3758 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(122,29) = HCF(151,122) = HCF(273,151) = HCF(697,273) = HCF(3758,697) .
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Frequently Asked Questions on HCF of 697, 3758 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 697, 3758?
Answer: HCF of 697, 3758 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 697, 3758 using Euclid's Algorithm?
Answer: For arbitrary numbers 697, 3758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.