Highest Common Factor of 646, 359, 61 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 646, 359, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 359, 61 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 646, 359, 61 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 646, 359, 61 is 1.
HCF(646, 359, 61) = 1
HCF of 646, 359, 61 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 646, 359, 61 is 1.
Highest Common Factor of 646,359,61 is 1
Step 1: Since 646 > 359, we apply the division lemma to 646 and 359, to get
646 = 359 x 1 + 287
Step 2: Since the reminder 359 ≠ 0, we apply division lemma to 287 and 359, to get
359 = 287 x 1 + 72
Step 3: We consider the new divisor 287 and the new remainder 72, and apply the division lemma to get
287 = 72 x 3 + 71
We consider the new divisor 72 and the new remainder 71,and apply the division lemma to get
72 = 71 x 1 + 1
We consider the new divisor 71 and the new remainder 1,and apply the division lemma to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 646 and 359 is 1
Notice that 1 = HCF(71,1) = HCF(72,71) = HCF(287,72) = HCF(359,287) = HCF(646,359) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 1, we apply the division lemma to 61 and 1, to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61 is 1
Notice that 1 = HCF(61,1) .
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Frequently Asked Questions on HCF of 646, 359, 61 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 646, 359, 61?
Answer: HCF of 646, 359, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 359, 61 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 359, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.