Highest Common Factor of 512, 643, 18, 652 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 512, 643, 18, 652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 512, 643, 18, 652 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 512, 643, 18, 652 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 512, 643, 18, 652 is 1.
HCF(512, 643, 18, 652) = 1
HCF of 512, 643, 18, 652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 512, 643, 18, 652 is 1.
Highest Common Factor of 512,643,18,652 is 1
Step 1: Since 643 > 512, we apply the division lemma to 643 and 512, to get
643 = 512 x 1 + 131
Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 131 and 512, to get
512 = 131 x 3 + 119
Step 3: We consider the new divisor 131 and the new remainder 119, and apply the division lemma to get
131 = 119 x 1 + 12
We consider the new divisor 119 and the new remainder 12,and apply the division lemma to get
119 = 12 x 9 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 512 and 643 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(119,12) = HCF(131,119) = HCF(512,131) = HCF(643,512) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18 > 1, we apply the division lemma to 18 and 1, to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18 is 1
Notice that 1 = HCF(18,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 652 > 1, we apply the division lemma to 652 and 1, to get
652 = 1 x 652 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 652 is 1
Notice that 1 = HCF(652,1) .
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Frequently Asked Questions on HCF of 512, 643, 18, 652 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 512, 643, 18, 652?
Answer: HCF of 512, 643, 18, 652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 512, 643, 18, 652 using Euclid's Algorithm?
Answer: For arbitrary numbers 512, 643, 18, 652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.