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 809, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 809, 527 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 809, 527 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 809, 527 is 1.
HCF(809, 527) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 809, 527 is 1.
Step 1: Since 809 > 527, we apply the division lemma to 809 and 527, to get
809 = 527 x 1 + 282
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 282 and 527, to get
527 = 282 x 1 + 245
Step 3: We consider the new divisor 282 and the new remainder 245, and apply the division lemma to get
282 = 245 x 1 + 37
We consider the new divisor 245 and the new remainder 37,and apply the division lemma to get
245 = 37 x 6 + 23
We consider the new divisor 37 and the new remainder 23,and apply the division lemma to get
37 = 23 x 1 + 14
We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get
23 = 14 x 1 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 527 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(37,23) = HCF(245,37) = HCF(282,245) = HCF(527,282) = HCF(809,527) .
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 809, 527?
Answer: HCF of 809, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 809, 527 using Euclid's Algorithm?
Answer: For arbitrary numbers 809, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.