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 587, 8887, 3531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 8887, 3531 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 587, 8887, 3531 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 587, 8887, 3531 is 1.
HCF(587, 8887, 3531) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 8887, 3531 is 1.
Step 1: Since 8887 > 587, we apply the division lemma to 8887 and 587, to get
8887 = 587 x 15 + 82
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 82 and 587, to get
587 = 82 x 7 + 13
Step 3: We consider the new divisor 82 and the new remainder 13, and apply the division lemma to get
82 = 13 x 6 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 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 587 and 8887 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(587,82) = HCF(8887,587) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3531 > 1, we apply the division lemma to 3531 and 1, to get
3531 = 1 x 3531 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3531 is 1
Notice that 1 = HCF(3531,1) .
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 587, 8887, 3531?
Answer: HCF of 587, 8887, 3531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 8887, 3531 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 8887, 3531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.