Highest Common Factor of 639, 166, 651, 209 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 639, 166, 651, 209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 639, 166, 651, 209 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 639, 166, 651, 209 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 639, 166, 651, 209 is 1.
HCF(639, 166, 651, 209) = 1
HCF of 639, 166, 651, 209 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 639, 166, 651, 209 is 1.
Highest Common Factor of 639,166,651,209 is 1
Step 1: Since 639 > 166, we apply the division lemma to 639 and 166, to get
639 = 166 x 3 + 141
Step 2: Since the reminder 166 ≠ 0, we apply division lemma to 141 and 166, to get
166 = 141 x 1 + 25
Step 3: We consider the new divisor 141 and the new remainder 25, and apply the division lemma to get
141 = 25 x 5 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 639 and 166 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(141,25) = HCF(166,141) = HCF(639,166) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 651 > 1, we apply the division lemma to 651 and 1, to get
651 = 1 x 651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 651 is 1
Notice that 1 = HCF(651,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 209 > 1, we apply the division lemma to 209 and 1, to get
209 = 1 x 209 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 209 is 1
Notice that 1 = HCF(209,1) .
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Frequently Asked Questions on HCF of 639, 166, 651, 209 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 639, 166, 651, 209?
Answer: HCF of 639, 166, 651, 209 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 639, 166, 651, 209 using Euclid's Algorithm?
Answer: For arbitrary numbers 639, 166, 651, 209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.