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 9773, 5367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9773, 5367 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 9773, 5367 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 9773, 5367 is 1.
HCF(9773, 5367) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9773, 5367 is 1.
Step 1: Since 9773 > 5367, we apply the division lemma to 9773 and 5367, to get
9773 = 5367 x 1 + 4406
Step 2: Since the reminder 5367 ≠ 0, we apply division lemma to 4406 and 5367, to get
5367 = 4406 x 1 + 961
Step 3: We consider the new divisor 4406 and the new remainder 961, and apply the division lemma to get
4406 = 961 x 4 + 562
We consider the new divisor 961 and the new remainder 562,and apply the division lemma to get
961 = 562 x 1 + 399
We consider the new divisor 562 and the new remainder 399,and apply the division lemma to get
562 = 399 x 1 + 163
We consider the new divisor 399 and the new remainder 163,and apply the division lemma to get
399 = 163 x 2 + 73
We consider the new divisor 163 and the new remainder 73,and apply the division lemma to get
163 = 73 x 2 + 17
We consider the new divisor 73 and the new remainder 17,and apply the division lemma to get
73 = 17 x 4 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 9773 and 5367 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(73,17) = HCF(163,73) = HCF(399,163) = HCF(562,399) = HCF(961,562) = HCF(4406,961) = HCF(5367,4406) = HCF(9773,5367) .
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 9773, 5367?
Answer: HCF of 9773, 5367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9773, 5367 using Euclid's Algorithm?
Answer: For arbitrary numbers 9773, 5367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.