Highest Common Factor of 639, 398, 27 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, 398, 27 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 639, 398, 27 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, 398, 27 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, 398, 27 is 1.
HCF(639, 398, 27) = 1
HCF of 639, 398, 27 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, 398, 27 is 1.
Highest Common Factor of 639,398,27 is 1
Step 1: Since 639 > 398, we apply the division lemma to 639 and 398, to get
639 = 398 x 1 + 241
Step 2: Since the reminder 398 ≠ 0, we apply division lemma to 241 and 398, to get
398 = 241 x 1 + 157
Step 3: We consider the new divisor 241 and the new remainder 157, and apply the division lemma to get
241 = 157 x 1 + 84
We consider the new divisor 157 and the new remainder 84,and apply the division lemma to get
157 = 84 x 1 + 73
We consider the new divisor 84 and the new remainder 73,and apply the division lemma to get
84 = 73 x 1 + 11
We consider the new divisor 73 and the new remainder 11,and apply the division lemma to get
73 = 11 x 6 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 639 and 398 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(73,11) = HCF(84,73) = HCF(157,84) = HCF(241,157) = HCF(398,241) = HCF(639,398) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 27 > 1, we apply the division lemma to 27 and 1, to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27 is 1
Notice that 1 = HCF(27,1) .
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Frequently Asked Questions on HCF of 639, 398, 27 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, 398, 27?
Answer: HCF of 639, 398, 27 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 639, 398, 27 using Euclid's Algorithm?
Answer: For arbitrary numbers 639, 398, 27 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.