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 409, 5179, 9482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 409, 5179, 9482 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 409, 5179, 9482 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 409, 5179, 9482 is 1.
HCF(409, 5179, 9482) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 409, 5179, 9482 is 1.
Step 1: Since 5179 > 409, we apply the division lemma to 5179 and 409, to get
5179 = 409 x 12 + 271
Step 2: Since the reminder 409 ≠ 0, we apply division lemma to 271 and 409, to get
409 = 271 x 1 + 138
Step 3: We consider the new divisor 271 and the new remainder 138, and apply the division lemma to get
271 = 138 x 1 + 133
We consider the new divisor 138 and the new remainder 133,and apply the division lemma to get
138 = 133 x 1 + 5
We consider the new divisor 133 and the new remainder 5,and apply the division lemma to get
133 = 5 x 26 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 409 and 5179 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(133,5) = HCF(138,133) = HCF(271,138) = HCF(409,271) = HCF(5179,409) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9482 > 1, we apply the division lemma to 9482 and 1, to get
9482 = 1 x 9482 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9482 is 1
Notice that 1 = HCF(9482,1) .
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 409, 5179, 9482?
Answer: HCF of 409, 5179, 9482 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 409, 5179, 9482 using Euclid's Algorithm?
Answer: For arbitrary numbers 409, 5179, 9482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.