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 919, 582, 483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 582, 483 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 919, 582, 483 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 919, 582, 483 is 1.
HCF(919, 582, 483) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 582, 483 is 1.
Step 1: Since 919 > 582, we apply the division lemma to 919 and 582, to get
919 = 582 x 1 + 337
Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 337 and 582, to get
582 = 337 x 1 + 245
Step 3: We consider the new divisor 337 and the new remainder 245, and apply the division lemma to get
337 = 245 x 1 + 92
We consider the new divisor 245 and the new remainder 92,and apply the division lemma to get
245 = 92 x 2 + 61
We consider the new divisor 92 and the new remainder 61,and apply the division lemma to get
92 = 61 x 1 + 31
We consider the new divisor 61 and the new remainder 31,and apply the division lemma to get
61 = 31 x 1 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 582 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(61,31) = HCF(92,61) = HCF(245,92) = HCF(337,245) = HCF(582,337) = HCF(919,582) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 483 > 1, we apply the division lemma to 483 and 1, to get
483 = 1 x 483 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 483 is 1
Notice that 1 = HCF(483,1) .
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 919, 582, 483?
Answer: HCF of 919, 582, 483 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 582, 483 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 582, 483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.