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 9807, 3986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9807, 3986 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 9807, 3986 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 9807, 3986 is 1.
HCF(9807, 3986) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9807, 3986 is 1.
Step 1: Since 9807 > 3986, we apply the division lemma to 9807 and 3986, to get
9807 = 3986 x 2 + 1835
Step 2: Since the reminder 3986 ≠ 0, we apply division lemma to 1835 and 3986, to get
3986 = 1835 x 2 + 316
Step 3: We consider the new divisor 1835 and the new remainder 316, and apply the division lemma to get
1835 = 316 x 5 + 255
We consider the new divisor 316 and the new remainder 255,and apply the division lemma to get
316 = 255 x 1 + 61
We consider the new divisor 255 and the new remainder 61,and apply the division lemma to get
255 = 61 x 4 + 11
We consider the new divisor 61 and the new remainder 11,and apply the division lemma to get
61 = 11 x 5 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9807 and 3986 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(61,11) = HCF(255,61) = HCF(316,255) = HCF(1835,316) = HCF(3986,1835) = HCF(9807,3986) .
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 9807, 3986?
Answer: HCF of 9807, 3986 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9807, 3986 using Euclid's Algorithm?
Answer: For arbitrary numbers 9807, 3986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.