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 9122, 2409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9122, 2409 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 9122, 2409 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 9122, 2409 is 1.
HCF(9122, 2409) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9122, 2409 is 1.
Step 1: Since 9122 > 2409, we apply the division lemma to 9122 and 2409, to get
9122 = 2409 x 3 + 1895
Step 2: Since the reminder 2409 ≠ 0, we apply division lemma to 1895 and 2409, to get
2409 = 1895 x 1 + 514
Step 3: We consider the new divisor 1895 and the new remainder 514, and apply the division lemma to get
1895 = 514 x 3 + 353
We consider the new divisor 514 and the new remainder 353,and apply the division lemma to get
514 = 353 x 1 + 161
We consider the new divisor 353 and the new remainder 161,and apply the division lemma to get
353 = 161 x 2 + 31
We consider the new divisor 161 and the new remainder 31,and apply the division lemma to get
161 = 31 x 5 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9122 and 2409 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(161,31) = HCF(353,161) = HCF(514,353) = HCF(1895,514) = HCF(2409,1895) = HCF(9122,2409) .
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 9122, 2409?
Answer: HCF of 9122, 2409 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9122, 2409 using Euclid's Algorithm?
Answer: For arbitrary numbers 9122, 2409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.