Highest Common Factor of 2409, 1068 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, 1068 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2409, 1068 is 3 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, 1068 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, 1068 is 3.
HCF(2409, 1068) = 3
HCF of 2409, 1068 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, 1068 is 3.
Highest Common Factor of 2409,1068 is 3
Step 1: Since 2409 > 1068, we apply the division lemma to 2409 and 1068, to get
2409 = 1068 x 2 + 273
Step 2: Since the reminder 1068 ≠ 0, we apply division lemma to 273 and 1068, to get
1068 = 273 x 3 + 249
Step 3: We consider the new divisor 273 and the new remainder 249, and apply the division lemma to get
273 = 249 x 1 + 24
We consider the new divisor 249 and the new remainder 24,and apply the division lemma to get
249 = 24 x 10 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2409 and 1068 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(249,24) = HCF(273,249) = HCF(1068,273) = HCF(2409,1068) .
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Frequently Asked Questions on HCF of 2409, 1068 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, 1068?
Answer: HCF of 2409, 1068 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2409, 1068 using Euclid's Algorithm?
Answer: For arbitrary numbers 2409, 1068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.