Highest Common Factor of 570, 4466 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 570, 4466 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 4466 is 2 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 570, 4466 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 570, 4466 is 2.
HCF(570, 4466) = 2
HCF of 570, 4466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 570, 4466 is 2.
Highest Common Factor of 570,4466 is 2
Step 1: Since 4466 > 570, we apply the division lemma to 4466 and 570, to get
4466 = 570 x 7 + 476
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 476 and 570, to get
570 = 476 x 1 + 94
Step 3: We consider the new divisor 476 and the new remainder 94, and apply the division lemma to get
476 = 94 x 5 + 6
We consider the new divisor 94 and the new remainder 6,and apply the division lemma to get
94 = 6 x 15 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 570 and 4466 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(94,6) = HCF(476,94) = HCF(570,476) = HCF(4466,570) .
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Frequently Asked Questions on HCF of 570, 4466 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 570, 4466?
Answer: HCF of 570, 4466 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 4466 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 4466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.