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 9823, 780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9823, 780 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 9823, 780 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 9823, 780 is 1.
HCF(9823, 780) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9823, 780 is 1.
Step 1: Since 9823 > 780, we apply the division lemma to 9823 and 780, to get
9823 = 780 x 12 + 463
Step 2: Since the reminder 780 ≠ 0, we apply division lemma to 463 and 780, to get
780 = 463 x 1 + 317
Step 3: We consider the new divisor 463 and the new remainder 317, and apply the division lemma to get
463 = 317 x 1 + 146
We consider the new divisor 317 and the new remainder 146,and apply the division lemma to get
317 = 146 x 2 + 25
We consider the new divisor 146 and the new remainder 25,and apply the division lemma to get
146 = 25 x 5 + 21
We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get
25 = 21 x 1 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 9823 and 780 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(146,25) = HCF(317,146) = HCF(463,317) = HCF(780,463) = HCF(9823,780) .
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 9823, 780?
Answer: HCF of 9823, 780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9823, 780 using Euclid's Algorithm?
Answer: For arbitrary numbers 9823, 780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.