Highest Common Factor of 530, 936, 451, 30 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, 936, 451, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 936, 451, 30 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, 936, 451, 30 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, 936, 451, 30 is 1.
HCF(530, 936, 451, 30) = 1
HCF of 530, 936, 451, 30 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, 936, 451, 30 is 1.
Highest Common Factor of 530,936,451,30 is 1
Step 1: Since 936 > 530, we apply the division lemma to 936 and 530, to get
936 = 530 x 1 + 406
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 406 and 530, to get
530 = 406 x 1 + 124
Step 3: We consider the new divisor 406 and the new remainder 124, and apply the division lemma to get
406 = 124 x 3 + 34
We consider the new divisor 124 and the new remainder 34,and apply the division lemma to get
124 = 34 x 3 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 530 and 936 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(124,34) = HCF(406,124) = HCF(530,406) = HCF(936,530) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 451 > 2, we apply the division lemma to 451 and 2, to get
451 = 2 x 225 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 451 is 1
Notice that 1 = HCF(2,1) = HCF(451,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1
Notice that 1 = HCF(30,1) .
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Frequently Asked Questions on HCF of 530, 936, 451, 30 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, 936, 451, 30?
Answer: HCF of 530, 936, 451, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 936, 451, 30 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 936, 451, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.