Highest Common Factor of 993, 9173, 2682 using Euclid's algorithm
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 993, 9173, 2682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 993, 9173, 2682 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 993, 9173, 2682 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 993, 9173, 2682 is 1.
HCF(993, 9173, 2682) = 1
HCF of 993, 9173, 2682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 993, 9173, 2682 is 1.
Highest Common Factor of 993,9173,2682 is 1
Step 1: Since 9173 > 993, we apply the division lemma to 9173 and 993, to get
9173 = 993 x 9 + 236
Step 2: Since the reminder 993 ≠ 0, we apply division lemma to 236 and 993, to get
993 = 236 x 4 + 49
Step 3: We consider the new divisor 236 and the new remainder 49, and apply the division lemma to get
236 = 49 x 4 + 40
We consider the new divisor 49 and the new remainder 40,and apply the division lemma to get
49 = 40 x 1 + 9
We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get
40 = 9 x 4 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 993 and 9173 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(49,40) = HCF(236,49) = HCF(993,236) = HCF(9173,993) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2682 > 1, we apply the division lemma to 2682 and 1, to get
2682 = 1 x 2682 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2682 is 1
Notice that 1 = HCF(2682,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 993, 9173, 2682 using Euclid's Algorithm
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 993, 9173, 2682?
Answer: HCF of 993, 9173, 2682 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 993, 9173, 2682 using Euclid's Algorithm?
Answer: For arbitrary numbers 993, 9173, 2682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
