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 4540, 8637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4540, 8637 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 4540, 8637 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 4540, 8637 is 1.
HCF(4540, 8637) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4540, 8637 is 1.
Step 1: Since 8637 > 4540, we apply the division lemma to 8637 and 4540, to get
8637 = 4540 x 1 + 4097
Step 2: Since the reminder 4540 ≠ 0, we apply division lemma to 4097 and 4540, to get
4540 = 4097 x 1 + 443
Step 3: We consider the new divisor 4097 and the new remainder 443, and apply the division lemma to get
4097 = 443 x 9 + 110
We consider the new divisor 443 and the new remainder 110,and apply the division lemma to get
443 = 110 x 4 + 3
We consider the new divisor 110 and the new remainder 3,and apply the division lemma to get
110 = 3 x 36 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4540 and 8637 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(110,3) = HCF(443,110) = HCF(4097,443) = HCF(4540,4097) = HCF(8637,4540) .
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 4540, 8637?
Answer: HCF of 4540, 8637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4540, 8637 using Euclid's Algorithm?
Answer: For arbitrary numbers 4540, 8637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.