Highest Common Factor of 697, 943, 410 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, 943, 410 i.e. 41 the largest integer that leaves a remainder zero for all numbers.
HCF of 697, 943, 410 is 41 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, 943, 410 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, 943, 410 is 41.
HCF(697, 943, 410) = 41
HCF of 697, 943, 410 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, 943, 410 is 41.
Highest Common Factor of 697,943,410 is 41
Step 1: Since 943 > 697, we apply the division lemma to 943 and 697, to get
943 = 697 x 1 + 246
Step 2: Since the reminder 697 ≠ 0, we apply division lemma to 246 and 697, to get
697 = 246 x 2 + 205
Step 3: We consider the new divisor 246 and the new remainder 205, and apply the division lemma to get
246 = 205 x 1 + 41
We consider the new divisor 205 and the new remainder 41, and apply the division lemma to get
205 = 41 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 697 and 943 is 41
Notice that 41 = HCF(205,41) = HCF(246,205) = HCF(697,246) = HCF(943,697) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 410 > 41, we apply the division lemma to 410 and 41, to get
410 = 41 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 41 and 410 is 41
Notice that 41 = HCF(410,41) .
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Frequently Asked Questions on HCF of 697, 943, 410 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, 943, 410?
Answer: HCF of 697, 943, 410 is 41 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 697, 943, 410 using Euclid's Algorithm?
Answer: For arbitrary numbers 697, 943, 410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.