Highest Common Factor of 646, 561, 630 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, 561, 630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 561, 630 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, 561, 630 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, 561, 630 is 1.
HCF(646, 561, 630) = 1
HCF of 646, 561, 630 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, 561, 630 is 1.
Highest Common Factor of 646,561,630 is 1
Step 1: Since 646 > 561, we apply the division lemma to 646 and 561, to get
646 = 561 x 1 + 85
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 85 and 561, to get
561 = 85 x 6 + 51
Step 3: We consider the new divisor 85 and the new remainder 51, and apply the division lemma to get
85 = 51 x 1 + 34
We consider the new divisor 51 and the new remainder 34,and apply the division lemma to get
51 = 34 x 1 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 646 and 561 is 17
Notice that 17 = HCF(34,17) = HCF(51,34) = HCF(85,51) = HCF(561,85) = HCF(646,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 630 > 17, we apply the division lemma to 630 and 17, to get
630 = 17 x 37 + 1
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 1 and 17, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 630 is 1
Notice that 1 = HCF(17,1) = HCF(630,17) .
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Frequently Asked Questions on HCF of 646, 561, 630 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, 561, 630?
Answer: HCF of 646, 561, 630 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 561, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 561, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.