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 385, 587, 583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 385, 587, 583 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 385, 587, 583 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 385, 587, 583 is 1.
HCF(385, 587, 583) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 385, 587, 583 is 1.
Step 1: Since 587 > 385, we apply the division lemma to 587 and 385, to get
587 = 385 x 1 + 202
Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 202 and 385, to get
385 = 202 x 1 + 183
Step 3: We consider the new divisor 202 and the new remainder 183, and apply the division lemma to get
202 = 183 x 1 + 19
We consider the new divisor 183 and the new remainder 19,and apply the division lemma to get
183 = 19 x 9 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 385 and 587 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(183,19) = HCF(202,183) = HCF(385,202) = HCF(587,385) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 583 > 1, we apply the division lemma to 583 and 1, to get
583 = 1 x 583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 583 is 1
Notice that 1 = HCF(583,1) .
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 385, 587, 583?
Answer: HCF of 385, 587, 583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 385, 587, 583 using Euclid's Algorithm?
Answer: For arbitrary numbers 385, 587, 583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.