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 4553, 3652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4553, 3652 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 4553, 3652 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 4553, 3652 is 1.
HCF(4553, 3652) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4553, 3652 is 1.
Step 1: Since 4553 > 3652, we apply the division lemma to 4553 and 3652, to get
4553 = 3652 x 1 + 901
Step 2: Since the reminder 3652 ≠ 0, we apply division lemma to 901 and 3652, to get
3652 = 901 x 4 + 48
Step 3: We consider the new divisor 901 and the new remainder 48, and apply the division lemma to get
901 = 48 x 18 + 37
We consider the new divisor 48 and the new remainder 37,and apply the division lemma to get
48 = 37 x 1 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 4553 and 3652 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(48,37) = HCF(901,48) = HCF(3652,901) = HCF(4553,3652) .
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 4553, 3652?
Answer: HCF of 4553, 3652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4553, 3652 using Euclid's Algorithm?
Answer: For arbitrary numbers 4553, 3652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.