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 459, 4999, 8324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 4999, 8324 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 459, 4999, 8324 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 459, 4999, 8324 is 1.
HCF(459, 4999, 8324) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 459, 4999, 8324 is 1.
Step 1: Since 4999 > 459, we apply the division lemma to 4999 and 459, to get
4999 = 459 x 10 + 409
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 409 and 459, to get
459 = 409 x 1 + 50
Step 3: We consider the new divisor 409 and the new remainder 50, and apply the division lemma to get
409 = 50 x 8 + 9
We consider the new divisor 50 and the new remainder 9,and apply the division lemma to get
50 = 9 x 5 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 459 and 4999 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(50,9) = HCF(409,50) = HCF(459,409) = HCF(4999,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8324 > 1, we apply the division lemma to 8324 and 1, to get
8324 = 1 x 8324 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8324 is 1
Notice that 1 = HCF(8324,1) .
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 459, 4999, 8324?
Answer: HCF of 459, 4999, 8324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 4999, 8324 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 4999, 8324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.