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 581, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 887 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 581, 887 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 581, 887 is 1.
HCF(581, 887) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 581, 887 is 1.
Step 1: Since 887 > 581, we apply the division lemma to 887 and 581, to get
887 = 581 x 1 + 306
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 306 and 581, to get
581 = 306 x 1 + 275
Step 3: We consider the new divisor 306 and the new remainder 275, and apply the division lemma to get
306 = 275 x 1 + 31
We consider the new divisor 275 and the new remainder 31,and apply the division lemma to get
275 = 31 x 8 + 27
We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get
31 = 27 x 1 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 581 and 887 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(275,31) = HCF(306,275) = HCF(581,306) = HCF(887,581) .
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 581, 887?
Answer: HCF of 581, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 887 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.