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 4204, 4568 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4204, 4568 is 4 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 4204, 4568 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 4204, 4568 is 4.
HCF(4204, 4568) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4204, 4568 is 4.
Step 1: Since 4568 > 4204, we apply the division lemma to 4568 and 4204, to get
4568 = 4204 x 1 + 364
Step 2: Since the reminder 4204 ≠ 0, we apply division lemma to 364 and 4204, to get
4204 = 364 x 11 + 200
Step 3: We consider the new divisor 364 and the new remainder 200, and apply the division lemma to get
364 = 200 x 1 + 164
We consider the new divisor 200 and the new remainder 164,and apply the division lemma to get
200 = 164 x 1 + 36
We consider the new divisor 164 and the new remainder 36,and apply the division lemma to get
164 = 36 x 4 + 20
We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get
36 = 20 x 1 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4204 and 4568 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(164,36) = HCF(200,164) = HCF(364,200) = HCF(4204,364) = HCF(4568,4204) .
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 4204, 4568?
Answer: HCF of 4204, 4568 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4204, 4568 using Euclid's Algorithm?
Answer: For arbitrary numbers 4204, 4568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.