Highest Common Factor of 530, 845, 663 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 530, 845, 663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 845, 663 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 530, 845, 663 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 530, 845, 663 is 1.
HCF(530, 845, 663) = 1
HCF of 530, 845, 663 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 530, 845, 663 is 1.
Highest Common Factor of 530,845,663 is 1
Step 1: Since 845 > 530, we apply the division lemma to 845 and 530, to get
845 = 530 x 1 + 315
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 315 and 530, to get
530 = 315 x 1 + 215
Step 3: We consider the new divisor 315 and the new remainder 215, and apply the division lemma to get
315 = 215 x 1 + 100
We consider the new divisor 215 and the new remainder 100,and apply the division lemma to get
215 = 100 x 2 + 15
We consider the new divisor 100 and the new remainder 15,and apply the division lemma to get
100 = 15 x 6 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 530 and 845 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(100,15) = HCF(215,100) = HCF(315,215) = HCF(530,315) = HCF(845,530) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 663 > 5, we apply the division lemma to 663 and 5, to get
663 = 5 x 132 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 5 and 663 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(663,5) .
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Frequently Asked Questions on HCF of 530, 845, 663 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 530, 845, 663?
Answer: HCF of 530, 845, 663 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 845, 663 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 845, 663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
