Highest Common Factor of 906, 531, 503, 18 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 906, 531, 503, 18 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 906, 531, 503, 18 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 906, 531, 503, 18 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 906, 531, 503, 18 is 1.
HCF(906, 531, 503, 18) = 1
HCF of 906, 531, 503, 18 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 906, 531, 503, 18 is 1.
Highest Common Factor of 906,531,503,18 is 1
Step 1: Since 906 > 531, we apply the division lemma to 906 and 531, to get
906 = 531 x 1 + 375
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 375 and 531, to get
531 = 375 x 1 + 156
Step 3: We consider the new divisor 375 and the new remainder 156, and apply the division lemma to get
375 = 156 x 2 + 63
We consider the new divisor 156 and the new remainder 63,and apply the division lemma to get
156 = 63 x 2 + 30
We consider the new divisor 63 and the new remainder 30,and apply the division lemma to get
63 = 30 x 2 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 906 and 531 is 3
Notice that 3 = HCF(30,3) = HCF(63,30) = HCF(156,63) = HCF(375,156) = HCF(531,375) = HCF(906,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 503 > 3, we apply the division lemma to 503 and 3, to get
503 = 3 x 167 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 503 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(503,3) .
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) .
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Frequently Asked Questions on HCF of 906, 531, 503, 18 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 906, 531, 503, 18?
Answer: HCF of 906, 531, 503, 18 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 906, 531, 503, 18 using Euclid's Algorithm?
Answer: For arbitrary numbers 906, 531, 503, 18 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.