Highest Common Factor of 468, 639 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 468, 639 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 468, 639 is 9 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 468, 639 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 468, 639 is 9.
HCF(468, 639) = 9
HCF of 468, 639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 468, 639 is 9.
Highest Common Factor of 468,639 is 9
Step 1: Since 639 > 468, we apply the division lemma to 639 and 468, to get
639 = 468 x 1 + 171
Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 171 and 468, to get
468 = 171 x 2 + 126
Step 3: We consider the new divisor 171 and the new remainder 126, and apply the division lemma to get
171 = 126 x 1 + 45
We consider the new divisor 126 and the new remainder 45,and apply the division lemma to get
126 = 45 x 2 + 36
We consider the new divisor 45 and the new remainder 36,and apply the division lemma to get
45 = 36 x 1 + 9
We consider the new divisor 36 and the new remainder 9,and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 468 and 639 is 9
Notice that 9 = HCF(36,9) = HCF(45,36) = HCF(126,45) = HCF(171,126) = HCF(468,171) = HCF(639,468) .
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Frequently Asked Questions on HCF of 468, 639 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 468, 639?
Answer: HCF of 468, 639 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 468, 639 using Euclid's Algorithm?
Answer: For arbitrary numbers 468, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.