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 531, 984, 806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 984, 806 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 531, 984, 806 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 531, 984, 806 is 1.
HCF(531, 984, 806) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 984, 806 is 1.
Step 1: Since 984 > 531, we apply the division lemma to 984 and 531, to get
984 = 531 x 1 + 453
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 453 and 531, to get
531 = 453 x 1 + 78
Step 3: We consider the new divisor 453 and the new remainder 78, and apply the division lemma to get
453 = 78 x 5 + 63
We consider the new divisor 78 and the new remainder 63,and apply the division lemma to get
78 = 63 x 1 + 15
We consider the new divisor 63 and the new remainder 15,and apply the division lemma to get
63 = 15 x 4 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 531 and 984 is 3
Notice that 3 = HCF(15,3) = HCF(63,15) = HCF(78,63) = HCF(453,78) = HCF(531,453) = HCF(984,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 806 > 3, we apply the division lemma to 806 and 3, to get
806 = 3 x 268 + 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 806 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(806,3) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 531, 984, 806?
Answer: HCF of 531, 984, 806 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 984, 806 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 984, 806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.