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 9821, 6200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9821, 6200 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 9821, 6200 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 9821, 6200 is 1.
HCF(9821, 6200) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9821, 6200 is 1.
Step 1: Since 9821 > 6200, we apply the division lemma to 9821 and 6200, to get
9821 = 6200 x 1 + 3621
Step 2: Since the reminder 6200 ≠ 0, we apply division lemma to 3621 and 6200, to get
6200 = 3621 x 1 + 2579
Step 3: We consider the new divisor 3621 and the new remainder 2579, and apply the division lemma to get
3621 = 2579 x 1 + 1042
We consider the new divisor 2579 and the new remainder 1042,and apply the division lemma to get
2579 = 1042 x 2 + 495
We consider the new divisor 1042 and the new remainder 495,and apply the division lemma to get
1042 = 495 x 2 + 52
We consider the new divisor 495 and the new remainder 52,and apply the division lemma to get
495 = 52 x 9 + 27
We consider the new divisor 52 and the new remainder 27,and apply the division lemma to get
52 = 27 x 1 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
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 9821 and 6200 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(52,27) = HCF(495,52) = HCF(1042,495) = HCF(2579,1042) = HCF(3621,2579) = HCF(6200,3621) = HCF(9821,6200) .
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 9821, 6200?
Answer: HCF of 9821, 6200 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9821, 6200 using Euclid's Algorithm?
Answer: For arbitrary numbers 9821, 6200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.