Highest Common Factor of 2409, 5631, 73169 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 2409, 5631, 73169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2409, 5631, 73169 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 2409, 5631, 73169 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 2409, 5631, 73169 is 1.
HCF(2409, 5631, 73169) = 1
HCF of 2409, 5631, 73169 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2409, 5631, 73169 is 1.
Highest Common Factor of 2409,5631,73169 is 1
Step 1: Since 5631 > 2409, we apply the division lemma to 5631 and 2409, to get
5631 = 2409 x 2 + 813
Step 2: Since the reminder 2409 ≠ 0, we apply division lemma to 813 and 2409, to get
2409 = 813 x 2 + 783
Step 3: We consider the new divisor 813 and the new remainder 783, and apply the division lemma to get
813 = 783 x 1 + 30
We consider the new divisor 783 and the new remainder 30,and apply the division lemma to get
783 = 30 x 26 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2409 and 5631 is 3
Notice that 3 = HCF(30,3) = HCF(783,30) = HCF(813,783) = HCF(2409,813) = HCF(5631,2409) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73169 > 3, we apply the division lemma to 73169 and 3, to get
73169 = 3 x 24389 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 73169 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(73169,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2409, 5631, 73169 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 2409, 5631, 73169?
Answer: HCF of 2409, 5631, 73169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2409, 5631, 73169 using Euclid's Algorithm?
Answer: For arbitrary numbers 2409, 5631, 73169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
