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 4587, 3806 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 4587, 3806 is 11 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 4587, 3806 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 4587, 3806 is 11.
HCF(4587, 3806) = 11
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4587, 3806 is 11.
Step 1: Since 4587 > 3806, we apply the division lemma to 4587 and 3806, to get
4587 = 3806 x 1 + 781
Step 2: Since the reminder 3806 ≠ 0, we apply division lemma to 781 and 3806, to get
3806 = 781 x 4 + 682
Step 3: We consider the new divisor 781 and the new remainder 682, and apply the division lemma to get
781 = 682 x 1 + 99
We consider the new divisor 682 and the new remainder 99,and apply the division lemma to get
682 = 99 x 6 + 88
We consider the new divisor 99 and the new remainder 88,and apply the division lemma to get
99 = 88 x 1 + 11
We consider the new divisor 88 and the new remainder 11,and apply the division lemma to get
88 = 11 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 4587 and 3806 is 11
Notice that 11 = HCF(88,11) = HCF(99,88) = HCF(682,99) = HCF(781,682) = HCF(3806,781) = HCF(4587,3806) .
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 4587, 3806?
Answer: HCF of 4587, 3806 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4587, 3806 using Euclid's Algorithm?
Answer: For arbitrary numbers 4587, 3806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.