Highest Common Factor of 483, 897, 530 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 483, 897, 530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 897, 530 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 483, 897, 530 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 483, 897, 530 is 1.
HCF(483, 897, 530) = 1
HCF of 483, 897, 530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 897, 530 is 1.
Highest Common Factor of 483,897,530 is 1
Step 1: Since 897 > 483, we apply the division lemma to 897 and 483, to get
897 = 483 x 1 + 414
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 414 and 483, to get
483 = 414 x 1 + 69
Step 3: We consider the new divisor 414 and the new remainder 69, and apply the division lemma to get
414 = 69 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 69, the HCF of 483 and 897 is 69
Notice that 69 = HCF(414,69) = HCF(483,414) = HCF(897,483) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 530 > 69, we apply the division lemma to 530 and 69, to get
530 = 69 x 7 + 47
Step 2: Since the reminder 69 ≠ 0, we apply division lemma to 47 and 69, to get
69 = 47 x 1 + 22
Step 3: We consider the new divisor 47 and the new remainder 22, and apply the division lemma to get
47 = 22 x 2 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 69 and 530 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(69,47) = HCF(530,69) .
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Frequently Asked Questions on HCF of 483, 897, 530 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 483, 897, 530?
Answer: HCF of 483, 897, 530 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 897, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 897, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.