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 849, 516, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 516, 571 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 849, 516, 571 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 849, 516, 571 is 1.
HCF(849, 516, 571) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 516, 571 is 1.
Step 1: Since 849 > 516, we apply the division lemma to 849 and 516, to get
849 = 516 x 1 + 333
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 333 and 516, to get
516 = 333 x 1 + 183
Step 3: We consider the new divisor 333 and the new remainder 183, and apply the division lemma to get
333 = 183 x 1 + 150
We consider the new divisor 183 and the new remainder 150,and apply the division lemma to get
183 = 150 x 1 + 33
We consider the new divisor 150 and the new remainder 33,and apply the division lemma to get
150 = 33 x 4 + 18
We consider the new divisor 33 and the new remainder 18,and apply the division lemma to get
33 = 18 x 1 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 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 849 and 516 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(33,18) = HCF(150,33) = HCF(183,150) = HCF(333,183) = HCF(516,333) = HCF(849,516) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 3, we apply the division lemma to 571 and 3, to get
571 = 3 x 190 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 571 is 1
Notice that 1 = HCF(3,1) = HCF(571,3) .
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 849, 516, 571?
Answer: HCF of 849, 516, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 516, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 516, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.