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 582, 888, 830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 582, 888, 830 is 2 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 582, 888, 830 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 582, 888, 830 is 2.
HCF(582, 888, 830) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 582, 888, 830 is 2.
Step 1: Since 888 > 582, we apply the division lemma to 888 and 582, to get
888 = 582 x 1 + 306
Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 306 and 582, to get
582 = 306 x 1 + 276
Step 3: We consider the new divisor 306 and the new remainder 276, and apply the division lemma to get
306 = 276 x 1 + 30
We consider the new divisor 276 and the new remainder 30,and apply the division lemma to get
276 = 30 x 9 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 582 and 888 is 6
Notice that 6 = HCF(30,6) = HCF(276,30) = HCF(306,276) = HCF(582,306) = HCF(888,582) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 830 > 6, we apply the division lemma to 830 and 6, to get
830 = 6 x 138 + 2
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 2 and 6, to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 830 is 2
Notice that 2 = HCF(6,2) = HCF(830,6) .
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 582, 888, 830?
Answer: HCF of 582, 888, 830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 582, 888, 830 using Euclid's Algorithm?
Answer: For arbitrary numbers 582, 888, 830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.