Highest Common Factor of 568, 3353 using Euclid's algorithm
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 568, 3353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 3353 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 568, 3353 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 568, 3353 is 1.
HCF(568, 3353) = 1
HCF of 568, 3353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 3353 is 1.
Highest Common Factor of 568,3353 is 1
Step 1: Since 3353 > 568, we apply the division lemma to 3353 and 568, to get
3353 = 568 x 5 + 513
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 513 and 568, to get
568 = 513 x 1 + 55
Step 3: We consider the new divisor 513 and the new remainder 55, and apply the division lemma to get
513 = 55 x 9 + 18
We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get
55 = 18 x 3 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 568 and 3353 is 1
Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(513,55) = HCF(568,513) = HCF(3353,568) .
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Frequently Asked Questions on HCF of 568, 3353 using Euclid's Algorithm
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 568, 3353?
Answer: HCF of 568, 3353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 3353 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 3353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.